Question

if x and x by 5 are a pair of supplementary angles find them.​

Answer 1

Answer:

The pairs are 150° and 30°

Explanation:

Question says that,

$\rm x$ and $\rm\dfrac{x}{5}$ are a pair of supplement angles.

We know,

A pair of supplementary angles is equals to 180°

According to the question,

$\rm \implies \: x + \dfrac{x}{5} = {180}^{ \circ}$

Solving for x :

$\rm \implies \: \dfrac{5x + x}{5} = {180}^{ \circ}$

$\rm \implies \: \dfrac{6x}{5} = {180}^{ \circ}$

$\rm \implies \: x = \dfrac{{180}^{} \ast 5}{6}$

$\rm \implies \: x = 30 \ast 5$

$\rm \implies \: x = 150$

$\rm \therefore \: x = 150^{ \circ}$

Hence, the angles are :

• $\rm x = 150^{\circ}$

• $\rm\dfrac{x}{5} = \dfrac{150}{5} = 30^{\circ}$

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Note:

Supplementary angles are two angles whose measures add up to 180°