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Lines p and q are parallel, cut by transversal r. A pair of alternate interior angles are $(5 x - 5)$ deg and $(3 x + 35)$ deg. Find each angle (deg).

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles

A105
B85
C95
D190

Step-by-Step Solution

Alternate interior angles equal:

5 x - 5 = 3 x + 35

, so

2 x = 40, x = 20

. Angle =

5 (20) - 5 = 95

deg.

Answer: C) 95

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