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

Question

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

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Thu Giang 3 years 2021-09-04T19:37:01+00:00 1 Answers 7 views 0

Answers ( )

  1. Acacia
    0
    2021-09-04T19:38:19+00:00
    Reply

    Answer:

    ∠B = 86°

    Step-by-step 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°

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