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18 which list of angle measures could be the angle measures of a triang…

Question

18 which list of angle measures could be the angle measures of a triangle? a 20°,45°,120° b 100°,130°,130° c 35°,60°,85° d 25°,55°,110°

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

$20^{\circ}+45^{\circ}+120^{\circ}=185^{\circ}
eq180^{\circ}$

Step3: Check option B

$100^{\circ}+130^{\circ}+130^{\circ}=360^{\circ}
eq180^{\circ}$

Step4: Check option C

$35^{\circ}+60^{\circ}+85^{\circ}=180^{\circ}$

Step5: Check option D

$25^{\circ}+55^{\circ}+110^{\circ}=190^{\circ}
eq180^{\circ}$

Answer:

C. $35^{\circ},60^{\circ},85^{\circ}$