For △FHG , find the measure of the smallest angle, <HFG, if m<GHF = 87 degrees and HGF = 76 degrees.(1 point)

1 answer

Since the sum of the angles in a triangle is always 180 degrees, we can find the measure of angle HFG by subtracting the measures of angles GHF and HGF from 180 degrees.

m<HFG = 180 - m<GHF - m<HGF
m<HFG = 180 - 87 - 76
m<HFG = 180 - 163
m<HFG = 17

Therefore, the measure of the smallest angle, <HFG, is 17 degrees.