z = 4°
Solution:
Given EFGH is an isosceles trapezoid.
By the property of isosceles trapezoid, non-parallel sides are congruent.
⇒ GH = EF
Angles opposite to equal sides are congruent.
∠H ≅ ∠G
m∠H = m∠G
105° = 3z + 93°
Subtract 93° from both sides, we get
12° = 3z
Divide by 3 on both sides, we get
4° = z
Switch the sides.
z = 4°
Hence the value of x is 4°.
