If the m∠X = 34° and the m∠Z = 26°, what is the m∠Y?
m∠Y = 26°, m∠Y = 34°, m∠Y = 60°, m∠Y = 120°

Solution:

The angle sum property of triangles says that the sum of all the interior angles of a triangle is 180°.

In triangle XYZ,

Given m∠X = 34° and the m∠Z = 26°

⇒ m∠X + m∠Y + m∠Z = 180°

⇒ 34° + m∠Y + 26° = 180°

⇒ 60° + m∠Y = 180°

By subtracting 60° from both sides, we will get

⇒ 60° + m∠Y - 60° = 180° - 60°

⇒ m∠Y = 120°

If the m∠X = 34° and the m∠Z = 26°, what is the m∠Y?

Summary:

By using angle sum property of triangle, m∠Y in triangle XYZ is 120° if m∠X = 34° and the m∠Z = 26°.