Question

The measures
of two angles are in the ratio 7:8
and they are supplementary angles. What are their
measures in degree​

Answer 1

Answer:

so,

there two angles which are supplementry means must are of 180°

= let the angles be x

=7x+8x=180°

=15x=180°

x=180/15

x=12

so,the measures are as 7 x 12=84°

8x12=96°

Answer 2

Given :

Measure of two supplementary angles are in the ratio 7:8 .

To Find :

Measure of both angles in degree

Solution :

$\longmapsto\tt{Let\:one\:angle\:be=7x}$

$\longmapsto\tt{Let\:other\:angle\:be=8x}$

As we know that sum of two supplementary angles is 180° . So ,

$\longmapsto\tt{7x+8x=180^{\circ}}$

$\longmapsto\tt{15x=180^{\circ}}$

$\longmapsto\tt{x=\cancel\dfrac{180}{15}}$

$\longmapsto\tt\bf{x=12}$

Value of x is 12 .

Therefore :

$\longmapsto\tt{Measure\:of\:one\:angle=7(12)}$

$\longmapsto\tt\bf{84^{\circ}}$

$\longmapsto\tt{Measure\:of\:other\:angle=8(12)}$

$\longmapsto\tt\bf{96^{\circ}}$

VERIFICATION :

$\longmapsto\tt{7x+8x=180^{\circ}}$

$\longmapsto\tt{7(12)+8(12)=180^{\circ}}$

$\longmapsto\tt{84+96=180^{\circ}}$

$\longmapsto\tt\bf{180^{\circ}=180^{\circ}}$