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°