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A day full of math games & activities. Find one near you.
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°.
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