Answer:
A) y = 23°
B) ∠A = 67°, ∠C = 113°, ∠D = 113°
Step-by-step explanation:
Hello!
A)
Angle A and B are vertical angles, meaning they are equal in measure. We can solve for y by setting the two equations equal to each other.
Vertical angles are the opposite angles formed by the intersection of 2 lines.
Supplementary angles are angles that add up to 180°.
Solve for y
- 4y - 25 = 67
- 4y = 92
- y = 23
The value of y is 23°.
B)
Measure of Angle A is 67°, as Angle A and B are vertical and equal in measure
Measure of Angle C is 113°, because the sum of angles on a line are equal to 180°, and are supplementary.
Measure of Angle D is also 113°, because it is vertical to Angle C.
