Question

Solve for x in the triangle below.
Please help me guys please

Answer 1

48

Explanation:

Given is an isosceles triangle:

`\angle Y \cong \angle Z (isosceles \: \triangle \: theorem) \\</p><p>m\angle Z = m\angle Y=x\\</p><p>\therefore 84\degree + x\degree +x\degree = 180\degree \\</p><p>\therefore 84\degree + 2x\degree = 180\degree \\</p><p>\therefore 2x\degree = 180\degree - 84\degree \\</p><p>\therefore 2x\degree = 96\degree \\\\</p><p>\therefore x\degree = (96\degree)/(2) \\\\</p><p>\therefore x\degree = 48\degree \\</p><p>\therefore x = 48 \\</p><p>`