190k views
0 votes
In the figure below, m2 = 76°. Find m< 1, m<3, m<4

1 Answer

3 votes

Answer:*

m<1 = 76°

m<3 = 76°

m<4 = 180° - 76° = 104°

*My answer is based on the information you provided me.

Explanation:

Unfortunately, I cannot see the figure you are referring to as you didn’t provide a picture. However, I can provide a general approach to solve this problem based on the information given.

Assuming that the figure is a diagram of intersecting lines, here's a way to find the measures of angles 1, 3, and 4:

1. Angles 2 and 3 are vertical angles, which means they have the same measure. Therefore, m<3 = 76°.

2. Angles 2 and 4 are supplementary angles, which means their measures add up to 180°. Therefore, m<4 = 180° - m<2.

3. Angles 1, 2, and 4 form a straight line, which means their measures add up to 180°. Therefore, m<1 + m<2 + m<4 = 180°.

4. Substitute the given measure of m<2 and the value of m<4 found in step 2 into the equation from step 3, and solve for m<1:

m<1 + 76° + (180° - 76°) = 180°

m<1 + 104° = 180°

m<1 = 76°

Therefore, the measures of angles 1, 3, and 4 are:

m<1 = 76°

m<3 = 76°

m<4 = 180° - 76° = 104°

User Aminata
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories