Triangle wxy is isosceles. ∠ywx and ∠yxw are the base angles. yz bisects ∠wyx. m∠xyz = (15x)°. m∠yxz = (2x + 5)°. what is the measure of ∠wyx?explain the stepsa.  5°b.15°c.75°d. 150°

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

150 D

Step-by-step explanation:

college