Question

Sandra is trying to make a triangular flag out of fabric for her fashion class. She wants two of the angles to be 32 degrees and 64 degrees. What will the third angle need to be?

Answer 1

84°

Step-by-step explanation

The flag has to be triangular and two of the angles must be 32° and 64°.

The sum of the measures of the interior angles of any triangle is 180°. Let x be the third angle of the flag:

`x+32+64=180`

Solving for x:

`x=180-(32+64)`
`x=180-96`
`x=84`

The third angle must be 84°