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TheBreeze

m∠A + m∠B = 90, since the angles are complementary.

The question also tells us that m∠A = (2x + 10) and m∠B = (-x + 55)

So, all we have to do is input the angle's values into the first equation:

(2x+10) + (-x+55) = 90

Simplify:

x + 65 = 90

x = 25

Input the variable into the angles:

m∠A = 2(25) + 10 = 50 + 10 = 60°

m∠B = -25 + 55 = 30°

PoeticAesthetics

Complementary angles mean that the sum equals 90 degrees

To find the measure of angle A and B we must first find x.

To find x you will need to make a formula that shows the sum of the complementary angles set equal to 90 like so...

(2x + 10) + (-x + 55) = 90

2x + 10 - x + 55 = 90

First combine like terms...

x  + 65 = 90

Bring 65 to the opposite side by subtracting it to both sides...

x + 65 - 65 = 90 - 65

x = 25

Now that we know what x is we can plug it into the formula given for the measure of angle a...

2(25) + 10

50 + 10

60

^^^This is the measure of angle a

Do the same thing to find the measure of angle b...

-25 + 55

30

^^^Measure of angle b

Hope this helped!

~Just a girl in love with Shawn Mendes

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