Question

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.

What is true about triangle XYZ? Select three options.

Angle Y is a right angle.
The measure of angle Z is 45°.
The measure of angle X is 36°.
The measure of the vertex angle is 72°.
The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.

Answer 1

Answer:

Angle Y is a right angle.

The measure of angle Z is 45°.

The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.

Explanation:

both base angles are the same - x

angle Y is 2x

4x= 180 (angles in a triangle add to 180)

x=45

Y = 2x = 90

Explanation:

Answer 2

Angle Y is a right angle.

The measure of angle Z is 45°.

The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.

Explanation:

both base angles are the same - x

angle Y is 2x

4x= 180 (angles in a triangle add to 180)

x=45

Y = 2x = 90