Question

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

Answer 1

Answer:$36^{\circ}$

Step-by-step 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!

Answer 2

Answer:

m∠ABC = 36 degrees

Step-by-step 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