Question

∠1 and ∠2 form a linear pair. The measure of ∠2 is six more than twice the measure of ∠1. Find m∠2

Answer 1

122 degrees.

Explanation:

The angles that make up a linear pair will always add up to 180 degrees. So we can assume that ∠1 + ∠2 = 180. Now, ∠2 = 2(∠1) + 6, so we can substitute that into the equation to get 3(∠1) + 6 = 180. Now can we subtract 6 from both sides to get 3(∠1) = 174. If we divide both sides by 3, we find out that ∠1 = 58. Now we can go back to the original equation, ∠1 + ∠2 = 180. We can substitute in 58 for ∠1 to get 58 + ∠2 = 180, and then subtract 58 from both sides to get ∠2 = 122. Hope this helps. : )