Question

If angle FLG measures 14x - 5 degrees and angle HLG measures 17x - 1 degrees, what is the measure of angle FLH?

a) 3x - 6 degrees
b) 31x - 6 degrees
c) 31x + 6 degrees
d) 3x + 6 degrees

Answer 1

To find the measure of angle FLH, we can use the fact that the sum of the angles of a triangle is always 180 degrees. We start by finding the measures of angle FLG and angle HLG in terms of x and then substitute them into the equation. Finally, we isolate Angle FLH to find its measure.

Step-by-step explanation:

To find the measure of angle FLH, we can use the fact that the sum of the angles of a triangle is always 180 degrees. We can start by finding the measures of angle FLG and angle HLG in terms of x and then substitute them into the equation:

Angle FLG = 14x - 5 degrees

Angle HLG = 17x - 1 degrees

Sum of angles of triangle FLH = Angle FLG + Angle HLG + Angle FLH = 180 degrees

Substituting the given values:

(14x - 5) + (17x - 1) + Angle FLH = 180 degrees

Simplifying the equation:

31x - 6 + Angle FLH = 180 degrees

Finally, to find the measure of angle FLH, we isolate it on one side of the equation:

Angle FLH = 180 degrees - 31x + 6

Therefore, the measure of Angle FLH is 180 degrees - 31x + 6.