Question

PLS HELP ASAP, given angle m ABD is a straight angle.

Answer 1

angle CBD = 125°

Explanation:

Because ABD is a straight angle we know it is equal to 180°

because we have this information we can create the equation

(8x-41) + (9x+17) = 180

17x - 24 = 180

(here you would add 24 to both sides)

17x = 204

(divide both sides by 17)

x = 12

Then you would plug in 12 for x in the equation for CBD which will then get you 125°

Answer 2

measure of CBD is 125 degrees

Explanation:

ABC + CBD is equal to 180 degrees

8x - 41 + 9x + 17 = 180

combine like terms

17x - 24 = 180

add 24 to both sides

17x = 204

divide both sides by 17

x = 12

then plug in to find CBD

9 (12) + 17

108 + 17 = 125 degrees