Question

If m∠EFG = 31° and m∠GFH = 64°, what is m∠EFH?
a) 33°
b) 95°
c) 95°
d) 95°

Answer 1

To find m∠EFH, we use the fact that the sum of the angles in a triangle is 180°. Adding the given angle measures, we can solve for m∠EFH.

Step-by-step explanation:

To find m∠EFH, we can use the fact that the sum of the angles in a triangle is 180°. Since EFG and GFH are adjacent angles in a triangle, we can add their measures, 31° and 64° respectively, to find the measure of the third angle: m∠EFG + m∠GFH + m∠EFH = 180°. Substituting the known angle measures, we have 31° + 64° + m∠EFH = 180°. Simplifying this equation, we find that m∠EFH = 85°.