Question

In triangle XYZ, if ∠X = 34° and ∠Z = 26°, what is the measure of ∠Y?

1) m∠Y = 26°
2) m∠Y = 34°
3) m∠Y = 60°
4) m∠Y = 120°

Answer 1

To find the measure of angle Y in triangle XYZ, subtract the sum of angles X and Z from 180 degrees.

Step-by-step explanation:

To find the measure of angle Y in triangle XYZ, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that angle X is 34 degrees and angle Z is 26 degrees, we can find angle Y by subtracting the sum of angles X and Z from 180 degrees:

∠Y = 180° - (∠X + ∠Z)

∠Y = 180° - (34° + 26°)

∠Y = 180° - 60°

∠Y = 120°

Therefore, the measure of angle Y is 120 degrees.