find the measure of the smallest angle , angle hfg , if angle ghf=92 degrees and angle hgf = 72 degrees
the answer is 16
answered here by Steve
http://www.jiskha.com/display.cgi?id=1352220822
To find the measure of angle HFG, we can use the fact that the sum of angles in a triangle is 180 degrees.
Let's assume that angle HFG measures x degrees.
Given:
Angle GHF = 92 degrees
Angle HGF = 72 degrees
According to the sum of angles in a triangle:
Angle GHF + Angle HGF + Angle HFG = 180
Substituting the given values:
92 + 72 + x = 180
Simplifying the equation:
164 + x = 180
Subtracting 164 from both sides of the equation:
x = 180 - 164
x = 16
Therefore, the measure of angle HFG, or angle "hfg," is 16 degrees.
To find the measure of the smallest angle, angle HFG, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
In this case, the three angles of the triangle are angle GHF, angle HGF, and angle HFG. We know that angle GHF is 92 degrees and angle HGF is 72 degrees.
Step 1: Start with the sum of the measures of the three angles in the triangle:
angle GHF + angle HGF + angle HFG = 180 degrees
Step 2: Substitute the values we know:
92 + 72 + angle HFG = 180 degrees
Step 3: Simplify the equation:
164 + angle HFG = 180 degrees
Step 4: Solve for angle HFG:
angle HFG = 180 degrees - 164 degrees = 16 degrees
Therefore, the measure of the smallest angle, angle HFG, is 16 degrees.