Question

Find the measure of angle Z.
Also write the method.​

Answer 1

Answer:

The measure of angle z is 72°.

Step-by-step explanation:

We know that sum of the linear pair of angles is 180°

So, Sum of angle XYZ and angle XYD will be 180°.

Angle XYD=130° [ Given]

Angle XYD+Angle XYZ=180°

=> 130°+ Angle XYZ=180°

=> Angle XYZ=180°-130°

=> Angle XYZ=50°

Now,

We know that all the angles of a triangle make 180°

58°+50°+Angle XZY=180°

=>108°+ Angle XZY=180°

=>Angle XZY=180°-108°

=72° Ans