SOLUTION: In a diagram, GH bisects <FGI; (<FGH=3x-3 degrees, and <HGI=4x-14 degrees). a. Solve for x and find m<FGH. b. Find m<HGI. c. Find m<FGI.

Algebra.Com
Question 498041: In a diagram, GH bisects a. Solve for x and find m b. Find m c. Find m
Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
Scince GH bisects FGI, FGH and HGI are equal.
3x -3 = 4x - 14
11 = x
FGH = 3(11) - 3 = 30
HGI = 4(11) - 14 = 30
So this does check.
Together, They form FGI which is 60.
Cleomenius.

RELATED QUESTIONS

< FGH and < HGJ form a linear pain. Find the measures of the angles if m < FGH=11x... (answered by richwmiller)
In parallelogram ABCD, angle A=x degrees and angle B=(3x) degrees. Find m (answered by jim_thompson5910)
In the accompanying diagram of parallelogram ABCD, m∠A = (2x + 10) and m∠B... (answered by nyc_function)
In the accompanying diagram of parallelogram ABCD, m∠A = (2x + 10) and m∠B... (answered by nyc_function)
find x. FGH is equilateral with FG =x + 5, GH = 3x - 9, and FH = 2x... (answered by actuary)
KM bisects (answered by cleomenius)
Find x if the m (answered by Fombitz)
If m (answered by fractalier)
in the diagram above (http://www.etoid.org/problem.jpg) SQ Bisects |_ PSR, m |_ 1=4x - 3, (answered by jim_thompson5910)