Question

<A and <J are complementary angles. Find the value of x m<A = 5x + 30 m<J = 4x +15

Answer 1

Sum of complementary angles always equal to 90°.

Given, <A and <J are complementary angles. So, we can set up an equation as following:

m<A+ M<J= 90

Next step is to plug in m<A = 5x + 30 and m<J = 4x +15 in the above equation. So we will get,

5x+30+4x+15=90

(5x+4x)+(30+15)=90 Group the like terms.

9x+45=90 Combine the like terms.

9x+45-45=90-45 Subtract 45 from each sides.

9x=45 By simplifying.

$\frac{9x}{9}=\frac{45}{9}$ Divide each sides by 9.

x=5.

So, x=5.