Question

∠A and ∠B are supplementary angles. If

m ∠A =
(6x + 10)° and m ∠A = (4x + 30)°, then find the measure
of ∠B

Answer 1

∠B = 86°

Explanation:

Given ∠A and ∠B are supplementary angles.

That is , ∠A + ∠B = 180°

( 6x + 10)° + ( 4x + 30)° = 180°

6x + 10 + 4x + 30 = 180

10x + 40 = 180

10x = 180 - 40

10x = 140

x = 14

Therefore, ∠A = (6x + 10) ° = (( 6 x 14) + 10)° = 94°

∠ B = ( 4x + 30)° = (( 4 x 14) + 30)° = 86°