Question

Find mZTUQ if mZTUQ = 5x - 7, mZQUV = 19x + 12, and mZTUV = 173º.

T
Q
U
O 7°
23°
26°
28°

Answer 1

28°

Explanation:

• m∠TUQ = 5x - 7
• m∠QUV = 19x + 12
• m∠TUV = 173°
• m∠TUQ =?

--------------

m∠TUV = m∠TUQ + m∠QUV

• 173° = 5x - 7 + 19x +12
• 173° = 24x + 5
• 168° = 24x
• x = 168°/24
• x = 7°

m∠TUQ = 5*7° - 7° = 28°