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l ∥ m and t is a transversal. The two angles between the parallel lines on the same side of t are $(2 x + 10)$ ° and $(x + 20)$ °. Find $x$ .

Class 7Adjacent and Vertically Opposite AnglesLines and Angles

A10
B60
C70
D50

Step-by-Step Solution

These are co-interior angles, which add up to

18 0^{\circ} : (2 x + 10) + (x + 20) = 180 \Rightarrow 3 x = 150 \Rightarrow x = 50

.

Answer: D) 50

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