Question

<1 and <2 are vertical angles. If m<1=6x+11 and m<2 =10x-9 find m<1

Answer 1

∠ 1 = 41°

Explanation:

Vertical angles are congruent, thus

10x - 9 = 6x + 11 ( subtract 6x from both sides )

4x - 9 = 11 ( add 9 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Thus

∠ 1 = 6x + 11 = 6(5) + 11 = 30 + 11 = 41°