Question

Fine the measure of an angle which is one-fifth of its supplement. ​

Answer 1

Answer:

$\huge{\pink{\green {\sf\boxed{ANSWER = 150°}}}}$

Step-by-step explanation:

$\bold{\underline {Given:}}$

• Angle is one-fifth of its supplement

$\bold{\underline {To \:Find:}}$

• Its supplement.

$\huge {\red{\boxed{SOLUTION⟹}}}$

$\Large\boxed{According\: to\: Question⟹}$

$⟹ {x} = {\dfrac{1}{5}(180° - x)}$

$⟹ {5x} = {(180° - x)}$

$⟹ {5x + x} = {180°}$

$⟹ {6x} = {180°}$

$⟹ {x} =\dfrac{180°}{6}$

$⟹ {x} = {30°}$

∴ supplement angle ⟹ 180° - 30°=$\small{\pink{\green {\sf\boxed{150°}}}}$

#Be_Brainly

Answer 2

Answer:

Let the supplement be x.

∴angle=x/5

∴x/5+x=180

⇒6x/5=180

⇒6x=180×5

⇒x=150°

∴x/5=30°