Question

# Match the following with the values of 'x'.125°48°145°

Solution

## The correct option is Consider the parallel lines AB and CD. Then BC is the traversal. Then ∠B+∠C=180∘ ⟹∠C=125∘ Similarly, considering the parallel lines AD and BC and traversal AB, we get, ∠A+∠B=180∘ ⟹∠A=145∘ We know that in a parallelogram, opposite angles are equal. Hence, ∠D=∠B ⟹∠B=48∘

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