Answer:
20
Explanation:
We know that two vertical angles are equal to each other.
Then
First, We have to solve the equation 5y + 10 = 2y + 16 for y.
After that ,we can easily find the measure of the angles by substituting y by its value in their expression.
SOLVING THE EQUATION :
5y + 10 = 2y + 16
⇔ 5y - 2y = 16 - 10
⇔ 3y = 6
⇔ y = 2
Determining the measure of the angles :
angle 1 → 5(2) + 10 = 20
angle 2 → 2(2) + 16 = 20