Question

For FHG find the measure of the smallest angle

Answer 1

m∠HFG=16°

Explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In this problem

m∠HFG+m∠GHF+m∠HGF=180°

we have

m∠GHF=92°

m∠HGF=72°

substitute the given values and solve for m∠HFG

m∠HFG+92°+72°=180°

m∠HFG+164°=180°

m∠HFG=180°-164°

m∠HFG=16°