Answer:
D. [tex]180-2a[/tex]
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:
[tex]\angle X+\angle Y+\angle Z=180^o[/tex]
As measure of Y and Z is equal, so we will get,
[tex]\angle X+a^o+a^o=180^o[/tex]
[tex]\angle X+2a^o=180^o[/tex]
[tex]\angle X+2a^o-2a^o=180^o-2a^o[/tex]
[tex]\angle X=(180-2a)^o[/tex]
Therefore, the measure of angle X will be [tex]180-2a[/tex] degrees and option D is the correct choice.
