A student was asked to find m∠A and m∠B given that m∠D=116°, m∠A=(10x−36)°, and m∠B=(10x−28)°. She incorrectly said m∠A=28° and m∠B=36°. Find m∠A and m∠B. What mistake might the student have made?

step-by-step explanation: 2

step-by-step explanation:

your answer is a

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.