Question

In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of angle XZY?

Answer 1

Answer: 55 degrees

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles $\theta$, $\alpha$ and $\beta$:

$\theta+\alpha+\beta=180\º$

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

$XYZ+YXZ+XZY=180\º$

$50\º+75\º+XZY=180\º$

$XZY=180\º-50\º-75\º$

Finally:

$XZY=55\º$