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A and b are complimentary angles. A=(7x+18) and b=(5x-12), then find the measure of a

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4 votes

Answer:


x=(37)/(6) \\

Explanation:

Since A and b are complimentary angles There sum is equal to 90°

In other words:

We know A = (7x+18) and b = (5x-12)

Next, insert these values into the equation (A+ b = 90°):


(7x+18) + (5x-12)=90

Drop the () since we are not multiplying anything


7x+18 + 5x-12=90

Combine like terms: 7x and 5x, 18 and-12


7x +5x +18-12=90\\\\12x+ 16=90\\

Subtract 16 from both sides of the equation


12x=74\\

Divide by 12 and get:


x=(37)/(6) \\ or
x=6.16666...

Hope this helps :)

User Esse
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