Question

M∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60

Answer 1

m∠ABC = 36 degrees

Explanation:

8x + 16 + 6x - 60 = 180 Add both angles to equal 180

14x - 44 = 180

+ 44 + 44 Add 44 to both sides

14x = 224 Divide both sides by 14

x = 16

Plug this into the equation for angle ABC

6(16) - 60 Multiply

96 - 60 Subtract

m∠ABC = 36

Answer 2

Answer:
`36^(\circ)`

Explanation:

A straight angle means that the angle has a measure of 180 degrees. Therefore:

`CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36`

Hope this helps!