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
saul85 [17]
2 years ago
13

Find the measures of the numbered angles in the isosceles trapezoid. I need help ASP

Mathematics
1 answer:
Novay_Z [31]2 years ago
5 0

Answer:

  ∠1 = 50°

  ∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

  ∠1 ≅ 50°

  ∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

  ∠1 = 50°

  ∠2 = ∠3 = 130°

_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

You might be interested in
What is the equation of the blue graph?
Tanya [424]
G(x) = (x-2)^3
move F(x) = x^2 to the right 2 units

answer
C. G(x) = (x-2)^3
6 0
3 years ago
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 1/2 pounds of blueberries, and one of his friend
xxMikexx [17]
1 3/8 was how many pounds Chad's other friend picked.
6 0
3 years ago
Read 2 more answers
7.46 rounded to the nearest tenth
atroni [7]

Answer:

7.5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
MATH QUESTION HELPPPPP MEHHHHHHHH 1 PIC INCLUDEDDDDD...
Colt1911 [192]

Answer:

I think its C

Step-by-step explanation:

sorry if it is wrong

8 0
3 years ago
Twice the sum of 13 and x is not greater than 15
Law Incorporation [45]
2 ( x + 13) < 15

2x + 26 < 15

2x < -11

x < -5.5
5 0
3 years ago
Other questions:
  • Angie baked 100 cookies and Tony brownies she wants to split them into equal groups for the bake sale each group must have the s
    8·1 answer
  • Looking at the diagrams, answer the question
    12·1 answer
  • Kylie has a notebook for each of his five classes he put six stickers on each notebook there are 10 stickers on each sheet how m
    7·1 answer
  • Factor the expression below.
    8·2 answers
  • What type of function is represented?
    7·1 answer
  • To find the square root of a number, you must divide the number by 2.<br> True<br> False
    9·1 answer
  • 2. Find f(-1).<br> f(x) = x2-4x+2<br> X+7<br> Round your answer to the nearest hundredth.
    11·1 answer
  • Marc showed 7 with this addition sentence 7=3+3+1. Use marc’s way to show these odd numbers with addition sentences . 5=
    7·1 answer
  • Larry measures the lens on a magnifying glass and calculates that it has an area of 50.24 square centimeters. What is the lens's
    14·2 answers
  • Math problem its the screen shot
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!