Question

Solve this and show your work!

Answer 1

a = 150

Explanation:

A straight angle measures 180°.

The measures of the smaller and larger angles add to 180°.

The smaller angle measures 1/6 of 180°.

The measure of the smaller angle is 1/6 × 180° = 180°/6 = 30°

We are told the larger angle measures a.

a + 30° = 180°

a = 150°

Answer: a = 150

Answer 2

a = 1080/7 or 154.2857143

Explanation:

180 = a + (1/6)a

180 = (7/6) a

a = 180/(7/6)

a = 1080/7

or 154.2857143