Question

Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X? 2a 90 a 180 2a

Answer 1

If angle y and angle z are the same then 180-2a would be measure of angle x

Answer 2

Answer:

D. $180-2a$

Step-by-step explanation:

Please find the attachment.

We are told that triangle XYZ is an isosceles triangle and measure f angle Y is a degrees. We are supposed to write an  

Since we know that an isosceles triangle has two equal sides and two equal angles.

By the angle sum property we can set an equation for the angle of our given triangle as:

$\angle X+\angle Y+\angle Z=180^o$

As measure of Y and Z is equal, so we will get,

$\angle X+a^o+a^o=180^o$

$\angle X+2a^o=180^o$

$\angle X+2a^o-2a^o=180^o-2a^o$

$\angle X=(180-2a)^o$  

Therefore, the measure of angle X will be $180-2a$ degrees and option D is the correct choice.