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
Ilia_Sergeevich [38]
3 years ago
8

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.​

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that  

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of  parallelogram

we have that

x+\frac{x}{3}=180^o

solve for x

\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

x+y=180^o

substitute the value of x

135^o+y=180^o

solve for y

y=45^o

therefore

The angles of a parallelogram are 135°-45°-135°-45°

You might be interested in
A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe
natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

7 0
3 years ago
Read 2 more answers
5 = 5(y - 2)<br>A. -3<br>B. 3<br>C. -1<br>D. 1​
Bess [88]

Answer:

Its 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What does this equation equal?<br> 4-2(-2)=
olga_2 [115]

Answer:

8

Step-by-step explanation:

Pemdas:

4-2(-2)

4+4

8

Hope this helped!

6 0
3 years ago
Solve for n 20 &gt; -4x - 8
LekaFEV [45]
The answer is X>-7 for your question
5 0
3 years ago
X + 2y – 4z = 1<br> -2x – 4y + 4z = 6<br> -4x – 3y – 4z = 21
elena55 [62]

Answer:

x = - 1

y = - 3

z = -2

Step-by-step explanation:

Please see steps in the image attached here.

6 0
3 years ago
Other questions:
  • What is the measure of each interior angle in a regular 15-gon?
    7·2 answers
  • Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to pai
    15·2 answers
  • Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right
    12·2 answers
  • Which of the following situations could be described by the equation y = 120 - 25x?
    11·1 answer
  • PLEASE HELP!! Serious answers only please!!
    10·1 answer
  • Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
    10·1 answer
  • What is y=(-2/3)x+400 as a function?
    14·2 answers
  • A box of 24 fruit-flavored ice cream bars includes 6 pineapple, 6 grape, 6 mango, and 6 lemon. You randomly select one ice cream
    13·1 answer
  • On Friday, Carlotta had 6/8 of her paper left to write. She wrote 2/6 of the paper on Saturday and ¼ of the paper on Sunday. At
    13·1 answer
  • Does anyone know how to do this?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!