Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
The 2 angles are complementary angles and need to equal 90 degrees.
Making an equation we have:
4x-10 + x = 90 degrees
Add like tems:
4x +x = 5x
Now we have:
5x-10 = 90
Add 10 to both sides:
5x = 100
Divide both sides by 5:
x = 100/5
X = 20
Answer:
fraction 4/12 or 1/3
decimal .333333333
percent 33%.333333
Step-by-step explanation:
