Question

The sum of the measures of angle A and angle B is 90 degrees. The measure of angle A is (5x + 10) The measure of angle B is 3x degrees

Answer 1

m<A is 60 degrees

m<B is 30 degrees

Explanation:

As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B

we can substitute (5x+10) and 3x as <A and <B into the equation

so:

5x+10+3x=90

Combine like terms

8x+10=90

subtract 10 from both sides

8x=80

divide by 8

x=10

Now substitute as x

m<A: (5*10+10)=50+10=60 degrees

m<B: (3*10)=30 degrees

Hope this helps!