10
Step-by-step explanation:
(2,5) ...........................................................................................
To determine the lines that are parallel, you will need to find the missing angle length in the pairs of supplementary angles (totaling 180 degree).
180 - 114 = 66 degrees
180 - 112 = 68 degrees
Using these you can see the lines that are parallel. They have matching angle measurements.
c // f
d // e
A straight line is 180°. So you can do:
(15x - 4) + (5x - 8) = 180 Simplify
20x - 12 = 180
20x = 192 Find the value of x
x = 9.6
m∠ABD = 15x - 4 Plug in x = 9.6
m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°
m∠DBC = 5x - 8 Plug in 9.6
m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°