Question

M∠ABD is a straight angle. m∠ABC =8x−41. m∠CBD=9x+17 Find m∠CBD

Answer 1

8x−41 + 9x+17 = 180
17x - 24 = 180
17x = 204
x = 12

m∠CBD = 9(12) +17 = 108 + 17 = 125

answer
m∠CBD = 125 degrees

Answer 2

Hello!

Since ABD is a straight angle it is 180°

This means that the two expressions add to 180

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

Put x into the equation for <CBD

9(12) + 17 = CBD

108 + 17 = CBD

125 = CBD

The answer is 125°

Hope this helps!