Question

Find missing angle measures

Answer 1

∠ 1 = 160°, ∠ 2 = 20°

Explanation:

The 2 angles are adjacent and supplementary, thus

∠ 1 + ∠ 2 = 180°, substitute values

5x + x - 12 = 180, that is

6x - 12 = 180 ( add 12 to both sides )

6x = 192 ( divide both sides by 6 )

x = 32

Thus

∠ 1 = 5x = 5(32) = 160°

∠ 2 = x - 12 = 32 - 12 = 20°