Question

The measuee of two angle are in the ratio 7 : 8 and they are supplementary angles . What are their measures in degrees

Answer 1

Answer:

180 degree

Step-by-step explanation:

Answer 2

$Given :</p><p></p><p>Measure of two supplementary angles are in the ratio 7:8 .</p><p></p><p>To Find :</p><p></p><p>Measure of both angles in degree </p><p></p><p>Solution :</p><p></p><p>[tex]\longmapsto\tt{Let\:one\:angle\:be=7x}$

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

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 :

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

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

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

$\longmapsto\tt\bf{180^{\circ}=180^{\circ}}$[/tex]