3 - 1/8a = 1/4
The goal is to isolate "a" and its coefficient to make the simplification process easier.
Start by subtracting 3 from both sides:
3 - 3 - 1/8a = 1/4 -3
-1/8a = 1/4 - 3
Next, multiply 3 by 4/4 to convert it into a fraction:
-1/8a = 1/4 - [3 • (4/4)]
-1/8a = 1/4 - 12/4
-1/8a = - 11/4
Multiply both sides by -8:
(-8) -1/8a = - 11/4 (-8)
a = 88/4 = 22
Therefore, a = 22.
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
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