Question

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

Answer 1

`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 :)