Question

which set of angle measures could be the interior angles of a triangle? a 80°, 80°, 200° b 15°, 30°, 135° c 90°, 90°, 90° d 40°, 50°, 60°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180°.

Step2: Check option A

$80^{\circ}+80^{\circ}+200^{\circ}=360^{\circ}
eq180^{\circ}$

Step3: Check option B

$15^{\circ}+30^{\circ}+135^{\circ}=180^{\circ}$

Step4: Check option C

$90^{\circ}+90^{\circ}+90^{\circ}=270^{\circ}
eq180^{\circ}$

Step5: Check option D

$40^{\circ}+50^{\circ}+60^{\circ}=150^{\circ}
eq180^{\circ}$

Answer:

B. $15^{\circ},30^{\circ},135^{\circ}$