For △FHG , find the measure of the smallest angle, <HFG, if m<GHF = 87 degrees and HGF = 76 degrees.(1 point)
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.
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.
Let's denote the measure of the smallest angle <HFG as x degrees. Since we know that m<GHF = 87 degrees and m<HGF = 76 degrees, we can write the equation:
x + 87 + 76 = 180
Combining like terms, we have:
x + 163 = 180
To isolate x, we subtract 163 from both sides of the equation:
x = 180 - 163
Simplifying further, we get:
x = 17
Therefore, the measure of the smallest angle <HFG is 17 degrees.
To find the measure of the smallest angle, <HFG, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
First, let's start by finding the measure of angle <HFG. We have the measures of angles <GHF and <HGF.
Step 1: Sum of angles in a triangle
The sum of the angles in a triangle is always 180 degrees. So we can write the equation:
<HFG + <GHF + <HGF = 180
Step 2: Substitute the given values
Substituting the given values, we have:
<HFG + 87 + 76 = 180
Step 3: Solve for <HFG
To find <HFG, we need to isolate it on one side of the equation. Subtract 87 and 76 from both sides:
<HFG = 180 - 87 - 76
<HFG = 17
Therefore, the measure of the smallest angle <HFG is 17 degrees.