Question

1. which of the following are not the measures of the angles of a triangle? a. 58°, 70°, and 62° b. 41°, 68°, and 71° c. 68°, 60°, and 52° d. 73°, 42°, and 65°

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Calculate the sum for option A

$58^{\circ}+70^{\circ}+62^{\circ}=190^{\circ}$

Step3: Calculate the sum for option B

$41^{\circ}+68^{\circ}+71^{\circ}=180^{\circ}$

Step4: Calculate the sum for option C

$68^{\circ}+60^{\circ}+52^{\circ}=180^{\circ}$

Step5: Calculate the sum for option D

$73^{\circ}+42^{\circ}+65^{\circ}=180^{\circ}$

Answer:

A. $58^{\circ},70^{\circ},$ and $62^{\circ}$