Question

<1 and <2 are supplementary angles. m< 1= 11a+19. m< 2 = 60 - 9. Find m<2.​

Answer 1

∠2 = 51°

Explanation:

Supplementary angles sum to 180°, thus

11a + 19 + 6a - 9 = 180, that is

17a + 10 = 180 ( subtract 10 from both sides )

17a = 170 ( divide both sides by 17 )

a = 10

Hence

∠2 = 6a - 9 = (6 × 10) - 9 = 60 - 9 = 51°