For ΔFHG, find the measure of the smallest angle, ∠HFG, if m∠ GHF = 92° and m∠HGF = 72°.
(1 point)
Responses
16
16
20
20
26
26
15
To find the measure of ∠HFG, we can subtract the measures of ∠GHF and ∠HGF from 180°, which is the total measure of the triangle.
∠GHF = 92°
∠HGF = 72°
Total measure of triangle = 180°
∠HFG = Total measure of triangle - ∠GHF - ∠HGF
∠HFG = 180° - 92° - 72°
∠HFG = 16°
Therefore, the measure of the smallest angle ∠HFG is 16°. Answer: 16
To find the measure of ∠HFG, we can use the fact that the sum of the measures of the angles in a triangle is 180°.
Since we know that ∠GHF = 92° and ∠HGF = 72°, we can find ∠HFG by subtracting the sum of these two angles from 180°.
∠HFG = 180° - (∠GHF + ∠HGF)
∠HFG = 180° - (92° + 72°)
∠HFG = 180° - 164°
∠HFG = 16°
Therefore, the measure of the smallest angle, ∠HFG, is 16°.