Question

In AEFG we know that m/F = 75° and m/G=45°. Which of the following is the measure

of E? Show how you found your answer.

(1) 40°
(2) 55°
(3) 60°
(4) 70°

Answer 1

(3) 60°

Explanation:

You want the measure of the third angle (E) in triangle EFG, given that two of the angles have measures 75° (angle F) and 45° (angle G).

Angle sum theorem

The angle sum theorem tells you the sum of angles in any triangle is 180°. This means ...

E + F + G = 180

E + 75 + 45 = 180

E = 60 . . . . . . . . . . . . . subtract 120 from both sides and simplify

The measure of angle E is 60°.

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