Question

The measure of two angles are in the ratio 7 is to 8 and their supplementary angles what are their measures in degrees

Answer 1

The sum of two supplementary angle is 180° and ratio of them is in 7:8.

Then ,

$7x + 8x = 180 \\ 15x = 180 \\ x = \frac{180}{15} \\ x = 12$

We get x = 12° then

angle 1 = 7x = 12° × 7 = 84°

angle 2 = 8x = 12°× 8 = 96°

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Answer 2

Answer:

*ANSWER*

84° and 96 °

Step-by-step explanation:

*EXPLAINATION*

The sum of the measures of supplemen

-tary angles is 180 degrees

7x + 8x=180

=15x = 180

=x = 180/15

=12

The measures of each angle

angle 1 =7x =7 x 12 = 84°

angle 2 = 8 x =8 x 12 =96°

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