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

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`