Question

Find the value of x​

Answer 1

The value if x is -12.

Explanation:

Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.

`θ + θ + 36 = 180`

`2θ = 180 - 36`

`2θ = 144`

`θ = 144 / 2`

`θ = 72`

Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :

`x + 84 = 72`

`x = 72 - 84`

`x = - 12`

Answer 2

x= -12

Explanation:

∠2= (180°-36°)÷2 (base ∠s of isos. △)

∠2= 72°

m∠2= x +84

72= x +84

x= 72 -84

x= -12