Question

Triangle XYZ is isosceles. Angle Y measures a*. What expression represents the measure of angle X?

Answer 1

2(X) + a° =180°, X = a°/2 +90°

Explanation:

In an isosceles triangle the sides XY & YZ are equal, as well as the angles oppose to those sides:

∠ X = ∠ Z and ∠ Y = a° (given)

We know that ∠X + ∠ Z + ∠ Y =180°, Since ∠ X = ∠ Z, then:

2(X) + a° =180°, X = a°/2 +90°

Answer 2

In an isosceles triangle the sides XY & YZ are equal, as well as the angles oppose to those sides:

∠ X = ∠ Z and ∠ Y = a° (given)

We know that ∠X + ∠ Z + ∠ Y =180°, Since ∠ X = ∠ Z, then:

2(X) + a° =180°, X = a°/2 +90°