Question

the measures of 2 angles are in the ratio 7:8 and they are supplementry angles. What are their measures in degree's?​

Answer 1

Answer:

two angles are called supplementary when sum of the two angles is 180 °

so, one angle is 7×180°/(7+8)

=7×180°/15

=7×12°

=84°

another angle is 8×180°/(7+8)

=8×180°/15

=8×12°

=96°

so, the angles are 84° and 96°

Answer 2

Step-by-step explanation:

Let the measurement of angles is 7x and 8x.

now according to question,

7x+8x= 180°

15x = 180°

x= 180/15

=12

7x= 7×12

=84°

8x=8×12

=96°

Hence,the two angles are 84°and96°.