Question

A triangle includes one angle that 72º. Which pair could be the measures of the other two angles of the triangle?

Answer 1

Answer:

C. 53º, 55º

Step-by-step explanation:

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

If one of the angles is 72°, the sum of the other two should be = 180° - 72°

                                                                                                          = 108°

Testing the choices given;

A. 9º, 9º ⇒ 9+9 =18      Not correct

B. 26º, 46º  ⇒ 26+46 = 72   Not correct

C. 53º, 55º  ⇒ 53 + 55 = 108°  Correct

The answer is C. 53º, 55º

Answer 2

Answer: C. 53º, 55º

Step-by-step explanation:

1. By definition, the sum of the interior angles of a triangle is 180 degrees.

2. Keeping this on mind, you have:

$180\°-72\°=108\°$

As you can see, the sum of the other two angles must be 108 degrees, then, let's add the angles given in each option:

A. 9°+9°=18

B. 26°+46°=72°  

C. 53°+55°=108°  

D. 72°+108°=180°

3. Therefore, the answer is the option C.