define bisect in simple terms
3 answers
Bisect means to divide or cut something into two equal parts.
For ΔFHG, find the measure of the smallest angle, ∠HFG, if m∠ GHF = 92° and m∠HGF = 72°.
set-by-step explanation
set-by-step explanation
To find the measure of the smallest angle ∠HFG, we can use the fact that the sum of the angles in a triangle is always 180°.
Step 1: Add the given angles.
m∠ GHF + m∠HGF + m∠HFG = 92° + 72° + m∠HFG = 164° + m∠HFG
Step 2: Use the fact that the sum of the angles in a triangle is 180°.
The sum of the angles in a triangle is always 180°.
So, m∠ GHF + m∠HGF + m∠HFG = 180°.
Step 3: Set up the equation.
164° + m∠HFG = 180°
Step 4: Solve for m∠HFG.
Subtract 164° from both sides of the equation.
m∠HFG = 180° - 164° = 16°
Therefore, the measure of the smallest angle ∠HFG is 16°.
Step 1: Add the given angles.
m∠ GHF + m∠HGF + m∠HFG = 92° + 72° + m∠HFG = 164° + m∠HFG
Step 2: Use the fact that the sum of the angles in a triangle is 180°.
The sum of the angles in a triangle is always 180°.
So, m∠ GHF + m∠HGF + m∠HFG = 180°.
Step 3: Set up the equation.
164° + m∠HFG = 180°
Step 4: Solve for m∠HFG.
Subtract 164° from both sides of the equation.
m∠HFG = 180° - 164° = 16°
Therefore, the measure of the smallest angle ∠HFG is 16°.