A transversal intersects two parallel lines forming a pair of consecutive interior angles
MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
A transversal intersects two parallel lines forming a pair of consecutive interior angles. One of the consecutive interior angles measures (3x+21)∘ and the other measures (7x−1)∘.
(i) Write an equation in x using the relationship between consecutive interior angles.
(ii) Solve for x.
(iii) Find the numerical measures of the two consecutive interior angles.
(iv) Determine the measure of an alternate exterior angle corresponding to the first angle you found.