Question

A figure is shown. Lines m and n are cut by a transversal (line 1). 2 52 2x What is the measure of 2 y. in degrees?​

Answer 1

y = 38°

Explanation:

Lines m and n are the parallel lines and 'l' is a transversal line.

Therefore, by the corresponding angles theorem,

2x = 52°

x = 26°

∠BAC = 2x° = 52° [Vertically opposite angles]

m∠ABC = 90°

In ΔABC,

m∠ABC + m∠BAC + m∠BCA = 180° [Triangle sum theorem]

90° + 52° + y° = 180°

y = 180 - 142

y = 38°