Question

Using the diagram, answer the following questions. Please show your work for points.

A.) Solve for y.
y =
B.) Find the measure of angles A, C and D showing all work.
∠A = , ∠C = , ∠D =

Answer 1

A) y = 23°

B) ∠A = 67°, ∠C = 113°, ∠D = 113°

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.