can someone help with a geometry question??

Question

in parallelogram EFGH the measure of angle E is represented by (4x+12)° The measure of angle F is represented by (x+18)°. Determine measure of angle H. Show all work

Answer 1

Hi Siena!

Consecutive angles (angles that are right next to each other) of a parallelogram are supplementary. Angles E and F are consecutive angles, so Angle E and Angle F are supplementary. Use this information to set up an equation, solve for x, and find the measure of Angle F.

Then, remember that opposite angles of a parallelogram are congruent. Angles F and H are opposite angles, so Angle F is congruent to Angle H.

If you have any other questions, feel free to reach out to me!

Ashley

Answer 2

∠E and ∠F, being adjacent interior angles, are supplementary.

4x + 12 + x + 18 = 180

5x = 150

x = 30

∠F and ∠H are alternate interior angles, so they are equivalent.

4(30) + 12 = 132º