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
ELEN [110]
3 years ago
12

The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

∠A + ∠D = 180°

⇒ ∠A + 50° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠A = 180° – 50°

⇒ ∠A = 130°

Similary, ∠B + ∠C = 180°

⇒ ∠B + 70° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠B = 180° – 70°

⇒ ∠B = 110°

Hence, angle A = 130° and angle B = 110°.

You might be interested in
What is the answer for 9/49 plus 19/21?
Schach [20]

Answer:

160/147

Step-by-step explanation:

6 0
3 years ago
Mr. Sasha teaches 4 math classes, with the same number of students in each class. Of those students, 80 are sixth graders and 40
STatiana [176]
80=6th graders
40=5th graders

80+40=120
120/22= 60/11
120/25=24/5
120/30= 4

There are 30 students in each class because he teaches 4 class and 120/30 will give you 4.
6 0
3 years ago
Help plz this is due today
In-s [12.5K]

Answer:

All three are similar!

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify!

5 0
3 years ago
Read 2 more answers
What is the area of the parallegram?<br> -104m<br> -88m<br> -56<br> -32
Bumek [7]

Area is Length X width.

Length = 4+7 = 11 m

Width = 8 m

Area = 11 x 8 = 88 m^2

5 0
3 years ago
Read 2 more answers
In the circle above, LM = 2 and KL = 6.
9966 [12]

Answer:

C. 4

Step-by-step explanation:

We can use power of a point to solve this problem. From this, we can set up the equation:

MN^2 = LM x MK

MK would be the sum of LM and KL because of segment addition postulate. Therefore, we can say MK = 2 + 6 = 8

Now, we can substitute the values we have in the equation above:

MN^2 = 2 x 8

MN^2 = 16

MN = 4

4 0
3 years ago
Other questions:
  • The table shows the fraction of the votes that each candidate received. If 230 students voted, how many students vote for each c
    9·1 answer
  • A proof in which you assume the opposite of what you want to prove
    6·1 answer
  • The population of a city in 2005 was 18,000. By 2010 the city's population was 45,000. Economists have determined that the popul
    10·1 answer
  • What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (0,-1)
    8·1 answer
  • PLEASE HELP ASAP BRAINLIEST
    10·1 answer
  • Ms.Sack owns a grocerystore. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags
    12·2 answers
  • In​ 2009, a diabetic express company charged ​$38.85 for a vial of type A insulin and ​$30.34 for a vial of type B insulin. If a
    5·1 answer
  • What is 99,900 rounded to the nearest ten thousand
    5·2 answers
  • Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee
    14·2 answers
  • 3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!