Answer:
The values of x and y are: and
Step-by-step explanation:
An isosceles triangle has two congruent sides and two congruent base angles.
Given triangle ABC is an isosceles triangle , since it has two congruent sides i.e AB=AC .
also given in the triangle the base angle C is .
By the definition, the isosceles triangle has two congruent base i.e .
⇒
Angle Bisector means A line AD splits an angle A into two equal angles i.e,
Now, by the triangle angle sum theorem, sum of the measure of the angle in triangle ABC is .
therefore, we have in triangle ABC,
putting the values of angles A, angle B and angle C to find the value of y.
simplify we get,
Now, to find the values of x , we again use the triangle angle sum theorem, sum of the measure of the angle in triangle ADC is
∴
⇒
Therefore, the values of x and y are: and