Question

If m∠FLG = (14x + 5)° and m∠HLG = (17x − 1)°, find m∠FLH.

a) 27°
b) 28°
c) 29°
d) 30°

Answer 1

To find the measure of angle FLH, use the fact that the sum of angles in a triangle is 180 degrees and set up an equation.

Step-by-step explanation:

To find the measure of angle FLH, we can use the fact that the sum of angles in a triangle is 180 degrees. Therefore, we can set up the equation:

(14x + 5)° + (17x - 1)° + m∠FLH = 180°

Combine like terms:

31x + 4 + m∠FLH = 180°

Subtract 4 from both sides:

31x + m∠FLH = 176°

Since we are looking for the measure of angle FLH, we need to isolate m∠FLH. So, subtract 31x from both sides:

m∠FLH = 176° - 31x

Therefore, the measure of angle FLH is 176° - 31x.