The measure of Angle 2 is twelve less than five times the measure of Angle 1. If angle 1 and angle 2 form a linear pair, find m

Question

The measure of Angle 2 is twelve less than five
times the measure of Angle 1. If angle 1 and angle 2 form
a linear pair, find m angle 2.

in progress 0
Sapo 3 years 2021-08-30T11:32:04+00:00 1 Answers 363 views 0

Answers ( )

    0
    2021-08-30T11:33:43+00:00

    Answer: The measure of Angle 2 = 148°

    Step-by-step explanation:

    Given: The measure of Angle 2 is twelve less than five  times the measure of Angle 1.

    Let the measure of Angle 1 = x

    Then, measure of Angle 2 = 5x-12

    Since both the angles form linear pair, so their sum = 180°  [linear pair of angles must add up to 180°.]

    Then, x+ (5x-12) = 180

    ⇒ x+ 5x-12= 180

    ⇒ 6x-12= 180

    ⇒ 6x= 180+12

    ⇒ 6x= 192

    ⇒ x= 32  [divide both sides by 6 ]

    So,  measure of Angle 2 = 5(32)-12 = 160-12 = 148°

    Hence, the measure of Angle 2 = 148°

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )