Question

1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work 20 points

Answer 1

M. T . FFFF

Explanation:

IM HUNGRY A. - S. F

Answer 2

ABD = 90 and DBC = 63

Explanation:

ABD + DBC = ABC

(5x +5) + (3x + 12) = 153

combine like terms to simplify

8x + 17 = 153

subtract 17 from 153

8x = 136

divide 136 by 8

x =17

Now we plug x = 17 in -> ABD: 5 x 17 + 5 = 90 DBC: 3 x 17 + 12 = 63