Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.
What are opposite by the same vertex and supplementary angles?
- When two parallel lines are cut by a transversal, angles that are opposite in a vertex are congruent, that is, they have the same measure.
- When two angles are supplementary, the sum of their measures is of 180º.
In this problem, angles 5 and 7 are opposite by the same vertex, hence:
m<7 = m<5 = 114º.
Angles 4 and 5 are supplementary, hence:
m<4 + m<5 = 180º.
m<4 = 66º.
The measure of angle 4 is of 66º.
More can be learned about supplementary angles at https://brainly.com/question/2046046
