Question

Find m∠DEF in the diagram.

Answer 1

∠DEF = 31.8°

Explanation:

∠DEF and the other angle (58.2°) are complementary.

• Complementary angles add up to 90 degrees.

So,

∠DEF + 58.2° = 90°

• Subtract 58.2 from both sides

∠DEF = 90° - 58.2°

∠DEF = 31.8°

`\rule[225]{225}{2}`

Answer 2

m∠DEF = 31.8°

Explanation:

We have two angles that form a right angle. I'm going to call the leading arrow of the bottom line "Point G". So angles DEF and FEG form a right angle, measuring a total of 90°

To find DEF, we subtract the known angle FEG from 90° because the two angles are complementary angles.

m∠DEF = 90° - 58.2°

m∠DEF = 31.8°