Question

Please find unknown angle ?​

Answer 1

$\huge\boxed{\underline{\bf\green{A} \: \red{N} \: \orange{S} \: \purple{W} \: \blue{E} \: \pink{R}}}$

→ x + 2x + 90° + 138 = 360°

→ 3x + 228 = 360

→ 3x = 360 - 228

→ 3x = 132

→ x = 132/3

→ x = 44°

→ 2x = 2 × 44 = 88°

Answer 2

$\:\:\:\: \Large \underline {\sf{Given\::}}$

➟ A quadrilateral having four angles : x , 2x , 90° and 138°

$\:\:\:\: \Large \underline {\sf{To\:Find\::}}$

➟ Measure of unknown angle

$\:\:\:\: \Large \underline {\sf{Solution\::}}$

➟ As we know , the sum of all the angles in a quadrilateral is equal to 360°

• Now , let us apply that here :

➟ $\sf x\:+\:2x\:+\:90 \degree \:+\:138 \degree \:=\:360 \degree$

➟ $\sf 3x\:+\:228 \degree \:=\:360 \degree$

➟ $\sf 3x \:=\:360 \degree \:-\: 228 \degree$

➟ $\sf 3x \:=\:132 \degree$

➟ $\sf x \:=\: \cancel \dfrac{132 \degree}{3}$

➟ $\large \underline{\boxed{\sf{\pink{Value\:of\:x \:=\:44 \degree}}}}$

★ Unknown angle 1 = x = 44°

★ Unknown angle 2 = 2x = 2(44°) = 88°

Final ans is : 44° amd 88°

And we are done !

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