Lines and are parallel and are intersected by a transversal
MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Lines l and m are parallel and are intersected by a transversal t. At the point where t meets l, the interior angle on the left of t is (5x+15)∘. At the point where t meets m, the angle situated in the corresponding position is (3x+57)∘. Answer the following.
(a) Form an equation in x by using an appropriate angle relationship and hence find the value of x.
(b) Calculate the measure of each of the eight angles formed at the two intersections.
(c) Verify numerically that the two interior angles on the same side of the transversal are supplementary.