Answer:
Problem 12 is 112° and problem 13 is 68°
Step-by-step explanation:
Angles EPF and DPG are vertical angles; therefore, they are congruent. That means, algebraically, that
4x + 48 = 7x
Solving for x:
48 = 3x and x = 16
Now that we know the value of x we can sub it back into the expression for the angle:
4(16) + 48 = 112.
For problem 13, angles DPE and EPF are supplementary, so that means that they add up to equal 180 degrees. Therefore, 180 - 112 = 68 degrees.
