Question

In the figure, AABC is similar to ADEF

62
What is m/1?
O-103
O 118*
O 139°
O 167°

Answer 1

Answer: 139°

Explanation:

To find the answer to this question, we first need to find what m∠DFE is. We are given that ΔABC is similar to ΔDEF. This means that corresponding angles will be congruent.

To do this, we need to find the measure of angle C. A triangle's interior angles add up to 180 degrees.

m∠C = 180° - 77° - 62° = 41°

Next, we can find m∠DFE. We will draw what we know into the given diagram. See attached. m∠D is congruent to m∠A, m∠E to m∠B, and lastly m∠F to m∠C.

Lastly, a straight angle is equal to 180 degrees.

180° - m∠DFE = m∠1

180° - 41° = m∠1

139° = m∠1