Lines and are parallel and are intersected by transversal

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines ll and mm are parallel and are intersected by transversal tt. One corresponding angle is (7x ⁣− ⁣12)∘(7x\! -\! 12)^{\circ} while its partner corresponding angle is (5x ⁣+ ⁣20)∘(5x\! +\! 20)^{\circ}. Determine (i) the value of xx, and (ii) the measure of each of these two corresponding angles.

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