Question

Find m
m m m Picture below:

Answer 1

m∠ABD = 108

Explanation:

m∠ABD = m∠ABC + m∠CBD

5x - 12 = 3x + x + 12

5x - 3x - x = 12 + 12

x = 24

m∠ABD = 5x - 12 = 5*24 - 12 = 120 - 12 = 108

Answer 2

Angle ABC plus angle CBD equals angle ABD.

Set up the equation and solve for x:

3x + x+12 = 5x-12

Combine like terms:

4x +12 = 5x -12

Add 12 to both sides:

4x +24 = 5x

Subtract 4x from both sides:

x = 24

Now you have a value for x, solve for ABD:

5x -12 = 5(24) - 12 = 120-12 = 108

Angle ABD = 108