Question

Given trapezoid ABCD whose bases are segment AB and segment CD, what is mZB?

Answer 1

x = 19

<B = 125°

Explanation:

The sum f angle <D and angle <A is equal to 180° because these angles are supplementary

75° + 5x + 10 = 180° add like terms

85 + 5x = 180 subtract 85 from both sides

5x = 95 divide both sides by 5

x = 19

Same rule goes for angle <C and angle <B

<B + 55° = 180 subtract 55 from both sides

<B = 125°