Question

Please tell me how to solve by proper explanation ​

Answer 1

$\large \sf \: hi \: \: buddy : )$

$\large \sf \star \: solutio n:$

Given :

• ∠A = x
• ∠B = x + 20
• ∠C = 2x

To Find :

• Value of x

$\\ \large \star \: \sf \underline{angle \: \: sum \: \: property}$

Sum of all interior angles = 180°

A + B + C = 180°

$\\ \large \tt : \implies \: x + x + 20 + 2x = 180 \degree \\ \\ \large \tt : \implies \: 20 + 4x = 180 \degree\\ \\ \large \tt : \implies \: 4x = 180 \degree - 20\\ \\ \large \tt : \implies \: 4x = 160 \degree\\ \\ \large \tt : \implies \: x = \frac{160 \degree}{4} \\ \\ \\ \large \underline{ \boxed{ \sf \therefore \: \: x = 40 \degree}}$

$\large \sf \star \: \underline{ \underline{check : }}$

➢∠A = x = 40°

➢∠B = x + 20°

= 40° + 20°

= 60°

➢ ∠C = 2x

= 2 × 40°

= 80°

$\\ \large \star \: \sf \underline{angle \: \: sum \: \: property}$

$\large \tt \implies \: 40 \degree + 60 \degree + 80 \degree = 180 \degree \\ \\ \large \tt \leadsto \: 180 \degree = 180 \degree \\ \\ \large \sf \: l.h.s = r.h.s \\ \large \: (hence \: \: proved)$