MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Two lines e and f are intersected by a transversal k. At the intersection with e, the angle on the east of k and above e is (3x−5)∘. At the intersection with f, the angle occupying the corresponding position is (2x+40)∘.
(a) Show that e is parallel to f.
(b) Determine the value of x.
(c) Using the value of x, calculate all eight angles formed by the transversal.
(d) State any two distinct pairs of angles from your answer in part (c) that are supplementary.