Answer:
a = 50 degrees
b = 85 degrees
c = 95 degrees
d = 82 degrees
e = 125 degrees
f = 95 degrees
g = 110 degrees
h = 35 degrees
Step-by-step explanation:
1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.
Solve for a, and we get a = 50 degrees.
2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.
c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.
3. d is 82 degrees, as it is an alternate interior angle with the 82.
e is 125 degrees, as it is corresponding with the 125.
4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.
5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.
6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.
We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.
