can someone help please?
Find the measure of the smallest angle, ∠HFG, if ∠ GHF = 92° and ∠HGF = 72°.
16
20
26
15
assuming FGH is a triangle, then the angles add up to 180°.
so,
∠HFG + 92 + 72 = 180
∠HFG = 16°
Do you have the rest?
To find the measure of the smallest angle ∠HFG, we can use the fact that the sum of the angles in a triangle is 180 degrees.
First, we know that ∠GHF = 92°.
Then, we know that ∠HGF = 72°.
To find ∠HFG, we can subtract the sum of ∠GHF and ∠HGF 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.
To find the measure of ∠HFG, you can use the fact that the sum of the angles in a triangle is equal to 180 degrees.
In this case, you are given that ∠GHF = 92° and ∠HGF = 72°. To find ∠HFG, you need to subtract 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°.
So, the answer is 16.