Question

find the value of x in this figure​

Answer 1

$\color{magenta} \cal \huge \underline{ \underline{ANSWER}}$

In this triangle Angle B will be equal to angle C as it is isosceles triangle.

$\sf \underline{ \color{yellow}By \: applying \: Angle \: sum \: property}$

$\cal \angle A+ \angle B+ \angle C = 180 \degree$

$\large \sf: \implies{ 40 \degree+ x+ x= 180 \degree}$

$\sf \large : \implies{ 2x= 180 \degree - 40\degree}$

$\large \sf : \implies { 2x= 140 \degree }$

$\large\sf: \implies{ x= \frac{140 \degree}{2} }$

$\color{lightgreen} \large \boxed{ \sf: \implies x = 70 \degree}$

Answer 2

Given -

• ABC is an isosceles triangle.
• ∠BAC = 40°

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To find -

• Value of x.

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Solution

• It is given that the given triangle is an isosceles triangle.

⠀

We know that adjacent angles of equal sides of an isosceles triangle are equal.

Therefore,

• ∠ABC = ∠ACB = x

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※ Sum of all angles of a triangle is 180°.

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→ ∠BAC + ∠ABC + ∠ACB = 180

→ 40 + x + x = 180

→ 2x = 180 - 40

→ 2x = 140

→ x = 140/2

→ x = 70

⠀

Therefore,

• Value of x is 70.
• ∠ABC = ∠ACB = 70°