Answer:
Option D is correct.
The measure of
Step-by-step explanation:
is isosceles and
and
are base angles.
Isosceles Triangle:
A triangle with two equal sides, and two congruent base angles that means the angles are equal
By the definition, the base angles are equal i.e,
Since, YZ bisects
Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles
then, or
Substitute the value of ;
The sum of measures of these three angles of triangle WXY is equal to the 180 degree.
In triangle WXY we have;
Substitute the value of and
in above formula:
or
Simplify:
Combine like terms ;
or
Simplify;
Substitute the value of x in ;
Therefore, the measure of