Question

Angles 1 and 2 are a supplementary pair with the measure of angle 2 being six more than twice the measure of angle 1. What is the measure of angle 2?

Answer 1

58° and 122°

Explanation:

Let the 1st angle be 'a'.

2nd angle = 6 more than twice of a = 2a + 6.

Supplementary angles add upto 180°.

=> a + (2a + 6) = 180

=> a + 2a + 6 = 180

=> 3a + 6 = 180

=> 3a = 174

=> a= 174/3 = 58

Thus, angles are:

a = 58°.

2a + 6 = 2(58°) + 6 = 122°