Answer:
The value if x is -12.
Step-by-step 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°.
[tex]θ + θ + 36 = 180[/tex]
[tex]2θ = 180 - 36[/tex]
[tex]2θ = 144[/tex]
[tex]θ = 144 \div 2[/tex]
[tex]θ = 72[/tex]
Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :
[tex]x + 84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x = - 12[/tex]
