∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 . What is the value of x?
2 answers:
Answer: 11
Step-by-step explanation:
We are given that ∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 .
We know that vertical angles are congruent, then their measures must be equal.
i.e. if ∠E and ∠F are vertical angles.
⇒ m∠E=m∠F
[Substitute the measures of ∠E and ∠F]
Subtract 5x from both sides , we get
Add 12 on both sides , we get
Divide both sides by 2 , we get
or x=11
Hence, the value of x= 11
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Raising something to the 1/4th power is the same as applying the 4th root to that expression. Raising an expression to the 1/n power is the same as applying the nth root.
Rule:
(if the text is too small it basically says x to the (1/n) = square root with a small 'n' all over x)