Question

a set of parallel lines is intersected by another line. find the unknown angle measures. enter your answers in the boxes below. measure of angle a = 128 measure of angle b = 128 measure of angle c = 128 measure of angle d =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. Angle a and the given 128° angle are vertical - angles. So, measure of angle a = 128°.

Step2: Identify corresponding angles

Corresponding angles formed by parallel lines and a transversal are equal. Angle b and the given 128° angle are corresponding angles. So, measure of angle b = 128°.

Step3: Identify alternate - interior angles

Alternate - interior angles formed by parallel lines and a transversal are equal. Angle c and angle b are alternate - interior angles. So, measure of angle c = 128°.

Step4: Identify vertical - angles again

Angle d and angle c are vertical - angles. So, measure of angle d = 128°.

Answer:

Measure of angle a = 128°
Measure of angle b = 128°
Measure of angle c = 128°
Measure of angle d = 128°