Question

find the value of x​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=120\degree}}}$

$\green{\tt{\therefore{Value\:of\:x=30\degree}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given : }} \\ \tt: \implies \angle \: A = 50 \degree \\ \\ \tt: \implies \angle \: B = 70 \degree \\ \\ \tt: \implies \angle \: ACD = x \degree \\ \\ \tt: \implies \angle \: E = 70 \degree \\ \\ \tt: \implies \angle \: F= x\degree \\ \\ \tt: \implies \angle \: FGH = 100 \degree \\ \\ \red{\underline \bold{To \: Find : }} \\ \tt: \implies value \: of \: x=?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Exterior \: angle = Sum \: of \: opposite \: interior \: angle \\ \\ \tt: \implies \angle ACD = \angle A + \angle B \\ \\ \tt: \implies x = 50 + 70 \\ \\ \green{\tt: \implies x = 120 \degree} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Exterior \: angle = Sum \: of \: opposite \: interior \: angle \\ \\ \tt: \implies \angle FGH= \angle E + \angle F \\ \\ \tt: \implies 100 = 70+ x \\ \\ \green{\tt: \implies x = 30 \degree}$

Answer 2

$\tt{\huge{\orange{Hello!!!}}} B.Q.$

QUESTION :

In the attachment...

SOLUTION :

In Triangle 1 :

According to Exterior Angle Theorem,

50 + 70 = X

=> X = 120°.........(A1)

In Triangle 2 :

According to the exterior angle theorem,

=> 70 + X = 100

=> X = 30°.......(A2)