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Dpj21
23.08.2019 •
Mathematics
In the diagram, gh bisects fgi. a. solve for x and find m fgh. b. find m hgi. c.find m fgi. a. x=_(simplify your answer)
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Ответ:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° > is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
Ответ:
D
Step-by-step explanation:
Saying the number of |`s is the number side and |<|||>|| then for a triangle i can say |+||>|||