Question

find the value of y=?​

Answer 1

$\large \sf \bold{ \star \: \: answer : }$

Option (b) 54°

$\\ \large \sf \bold{ \star \: \: solution : }$

$\large \tt \mapsto \: \angle aoe + \angle boe = 180 \degree$

• Linear Pair

$\\ \large \tt \implies \: 3x + 72 \degree = 180 \degree \\ \\ \large \tt \implies \: 3x = 180 \degree - 72 \degree\\ \\ \large \tt \implies \: 3x = 108 \degree\\ \\ \large \tt \implies \: x = \frac{ 108 \degree}{3} \\ \\ \\ \large \underline{ \boxed{ \sf \therefore \: \: x = 36 \degree}}$

• Angle AOE = 108°

• Angle COA = 36°

∠COA + ∠DOC + ∠DOB = 180°

• Linear Pair

$\\ \large \tt \implies \: 36 \degree + 90 \degree + y = 180 \degree \\ \\ \large \tt \implies \: 126\degree + y = 180 \degree \\ \\ \large \tt \implies \:y = 180 \degree - 126\degree \\ \\ \\ \large \bold{\underline{ \underline{ \boxed{ \sf \therefore \: \: y = 54 \degree}}}}$