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Two interior angles on the same side of a transversal are $(3 x - 10)$ deg and $(2 x + 30)$ deg. If the two lines are parallel, find the value of $x$ .

Class 9The Fifth PostulateGeometry — Foundations

A29
B35
C32
D64

Step-by-Step Solution

Parallel lines:

(3 x - 10) + (2 x + 30) = 180

. So

5 x + 20 = 180, 5 x = 160, x = 32

.

Answer: C) 32

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