If angle A and angle B are supplementary angles and angle A is nine times as large as angle ​B, find the measures of angle A and angle B.

Question

If angle A and angle B are supplementary angles and angle A is nine times as large as angle ​B, find the measures of angle A and angle B.

The measure of angle B is :
The measure of angle A is :
please answer this I need this answer and i’m too dumb to understand ;-;

in progress 0
Lyla 1 week 2021-11-24T00:35:00+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-24T00:36:01+00:00

    The measure of angle B is :  18 degrees

    The measure of angle A is : 162 degrees

    Solution:

    Given that,

    Let “x” be the measure of angle A

    Let “y” be the measure of angle B

    Angle A and angle B are supplementary angles

    Two angles are supplementary, if they add to 180 degrees

    Therefore,

    x + y = 180 —— eqn 1

    Angle A is nine times as large as angle ​B

    Therefore,

    x = 9y —– eqn 2

    Substitute eqn 2 in eqn 1

    9y + y = 180

    10y = 180

    y = 18

    Substitute y = 18 in eqn 2

    x = 9(18)

    x = 162

    Therefore,

    The measure of angle B is :  18 degrees

    The measure of angle A is : 162 degrees

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )