Answer:
x = 48
Step-by-step explanation:
The triangle above is an isosceles triangle because it has two equal sides.
In an isosceles triangle, the two angles opposite the two equal sides are also equal to each other. This means that m<Y = m<Z.
Therefore:
2×x + 84 = 180° (sum of ∆)
2x + 84 = 180
Subtract 84 from both sides
2x = 180 - 84
2x = 96
Divide both sides by 2
2x/2 = 96/2
x = 48