1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
3 years ago
11

A parallelogram has one angle that measures 118°. What are the measures of the other three angles in the parallelogram?

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Step-by-step explanation:

<em>Given</em>

<em>We </em><em>know </em><em>that </em><em>in </em><em>a </em><em>parallelogram </em><em>opposite </em><em>angles </em><em>are </em><em>equal</em><em>. </em><em>So </em>

<em>1st </em><em>and </em><em>3rd </em><em>angles </em><em>=</em><em> </em><em>1</em><em>1</em><em>8</em><em>°</em>

<em>Let </em><em>2nd </em><em>and </em><em>4th </em><em>angles </em><em>=</em><em> </em><em>x</em>

<em>Now</em>

<em>1</em><em>1</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>x </em><em>+</em><em> </em><em>x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em>(</em><em> </em><em>Being </em><em>sum </em><em>of </em><em>angles </em><em>of </em><em>parallelogram</em><em>) </em>

<em>2</em><em>3</em><em>6</em><em>°</em><em> </em><em>+</em><em> </em><em>2x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em>

<em>2x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>2</em><em>3</em><em>6</em><em>°</em>

<em>2x </em><em>=</em><em> </em><em>1</em><em>2</em><em>4</em><em>°</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>6</em><em>2</em><em>°</em>

<em>Now </em><em>the </em><em>measure </em><em>of </em><em>other </em><em>all </em><em>angles </em>

<em>118</em><em>°</em><em> </em><em>,</em><em> </em><em>6</em><em>2</em><em>°</em><em> </em><em>,</em><em> </em><em>1</em><em>1</em><em>8</em><em>°</em><em>,</em><em> </em><em>6</em><em>2</em><em>°</em>

You might be interested in
A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two c
Salsk061 [2.6K]

Answer:

45 degrees

Step-by-step explanation:

Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.

So now, we do 180 - 90 = 90 this is the sum of the other angles.

We shall assume that they are the same and divide 90/2 = 45 degrees each

Ok here are some things to understand while solving!

  • If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
  • If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
  • If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
  • If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
  • If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
  • Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)

Hope this helped!

Study hard!

5 0
3 years ago
Read 2 more answers
What is the area of the trapezoid?<br><br> Enter your answer in the box.
Oksi-84 [34.3K]

Answer:In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezium in English outside North America, but as a trapezoid in American and Canadian English  

a+b 2h

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If a1 = 8 and an = an-1 + 5 then find the value of a5.
Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

A5=A4+5

5 0
3 years ago
How many counters would you place in the five frame to show the number
Leviafan [203]
Assuming the five frame is for the number five (5) then place 5 counters in the frame.
7 0
3 years ago
M = 1/2 (0, -3)<br> Write the equation of a line using slope intercept form
marshall27 [118]

Answer:

y=\frac{1}{2}x-3

Step-by-step explanation:

slope intercept form is y=mx+b

b is y intercept

so we plug the coordinate into the equation

-3=\frac{1}{2}(0)+b

-3=b

so y intercept is -3

so we then write our equation which is,

y=\frac{1}{2}x-3

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you make a fortune teller
    10·1 answer
  • How do I solve this math problem?
    12·1 answer
  • Add to find the sum 2/10 + 3/100 =
    10·2 answers
  • Use the given property to complete the statement
    7·1 answer
  • A movie theather sells 10 tickets at a time online what is the domain of this graph
    12·1 answer
  • These two plzz:) I RLLY NEeD HE:LP
    13·2 answers
  • To join Ace Gym, one must pay a $180 membership fee plus dues of $35 per month. To join Best Gym, one must pay a $300
    7·1 answer
  • Hi! Giving away points just answer this... 5 plus 6 divided by 2! I also have an unanswered question just click on my profile pi
    9·1 answer
  • Select all the numbers that are solutions that are equal x^2=15
    8·1 answer
  • What is the answer to the question down below
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!