Question

A straight angle is divided in 3 smaller angles in ratio 5:6:7. Find each angle?​

Answer 1

Given :

A straight angle is divided in 3 smaller angles. The angles are in the ratio 5:6:7.

To Find :

What are the angles?

ㅤㅤ▬▬▬▬▬▬▬▬▬▬▬

❍ Let us assume, that the angles are 5x, 6x and 7x respectively. As we know, straight angle = 180°.

$\bigstar \; \boldsymbol{\underline{According \: to \: the \: question,}}$

$\sf{ : \: \longmapsto \: 5x + 6x + 7x = 180°}$

$\sf{ : \: \longmapsto \: 18x = 180°}$

$\sf{ : \: \longmapsto \: x = \dfrac{ \cancel{180°}^{10} }{ \cancel{18}_{1} } }$

$\mathfrak{ : \: \longmapsto \: {\underline{\fbox{x = 10°}}}}$

Therefore, the angles are :

ㅤㅤ➲ $\pink{\tt{5x = 5 × 10° = 50°}}$

ㅤㅤ➲ $\purple{\tt{6x = 6 × 10° = 60°}}$

ㅤㅤ➲ $\blue{\tt{7x = 7 × 10° = 70°}}$