Questions: m angle F A E = m angle A C D =

m angle F A E = m angle A C D =
Transcript text: $m \angle F A E=$ $\qquad$ $m \angle A C D=$ $\qquad$
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Solution

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Solution Steps

Step 1: Find the value of x

Angles ABC and EAB are supplementary angles, so their sum is 180°. Angle EAB is equal to 8x and angle ABC is equal to 180° - 128° = 52°. Therefore, 8x = 52, and x = 6.5.

Step 2: Find the measure of angle FAE

Angle FAE = 8 * x = 8 * 6.5 = 52°

Step 3: Find the measure of angle ACD

The sum of the angles in a triangle is 180°. The measure of angle BAC = 8x = 52°. Therefore, the measure of angle ACB is equal to 180° - 52° - 52° = 76°. Angles ACB and ACD are supplementary, so angle ACD = 180° - 76° = 104°.

Final Answer:

m∠FAE = 52°

m∠ACD = 104°

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