Question

Find the value of x in the given figure​

Answer 1

here is your answer

hope it helps

Answer 2

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

${\bold{\therefore x=20\degree}}$

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

$\underline \bold{Given : } \\ \implies \angle ACB = 100 \degree \\ \\ \implies \angle CAE = 3x \degree \\ \\ \implies \angle AED= 7x \degree \\ \\ \underline \bold{To \: Find : } \\ \implies x = ?$

• According to given question :

$\bold{By \: using \: straight \: line \: property : } \\ \implies \angle ACB + \angle ACE = 180 \degree \: \: \bold{(Linear \: pair)} \\ \\ \implies 100 \degree + \angle ACE = 180 \degree \\ \\ \implies \angle ACE= 180 - 100 \\ \\ \bold{\implies \angle ACE= 80 \degree} \\ \\ We \: know \: that \to \\ \bold{Exterior \: angle = Sum \: of \: two \: interior} \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{opposite \: angle} \\ \\ \bold{By \:using \: this \: property : } \\ \implies \angle AED= \angle CAE + \angle ACE \\ \\ \implies 7x = 3x + 80 \\ \\ \implies 7x - 3x = 80 \\ \\ \implies 4x = 80 \\ \\ \implies x = \frac{ \cancel{80}}{ \cancel4} \\ \\ \bold{\implies x = 20 \degree} \\ \\ \bold{\angle CAE= 3x = 60 \degree} \\ \bold{ \angle AED = 7x = 140 \degree}$