Two angles whose sum is 180° are called supplementary angles. The measure of ∠E is 103°.
What are supplementary angles?
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given that ∠C and ∠E are supplementary. Therefore, the sum of the two angles will be 180°. Now, the sum of the two angles can be written as,
∠C + ∠E = 180°
As it is given that the measure of ∠C is 77°. Therefore, substitute the measure of ∠C,
77° + ∠E = 180°
∠E = 180° - 77°
∠E = 103°
Hence, the measure of ∠E is 103°.
Learn more about Supplementary angle:
https://brainly.com/question/2882938
#SPJ2
