Question

If m_HEF = 92°, then what is mZAED? B D C At E ►F 0. G N H K M L J

Answer 1

You have tha m∠HEF = 92°.

In order to determine which is the measure of ∠AED, you first find the value of the measure of angle ∠DEF. To find the measure of this angle, you consider that angles ∠HEF and ∠DEF are supplementary, that is, they add up 180°.

Thus, you have:

m∠HEF + m∠DEF = 180

you replace the value of m∠HEF and solve for m∠DEF:

92 + m∠DEF = 180

m∠DEF = 180 - 92

m∠DEF = 88

Next, you consider that both angles ∠AED and ∠DEF are supplementary. Thus, you have:

m∠AED + m∠DEF = 180

you replace the value of m∠DEF and solve for m∠AED:

m∠AED + 88 = 180

m∠AED = 180 - 88

m∠AED = 92

Hence, the measure