An angle measures 68° more than the measure of its complementary angle. What is the measure of each angle?

Question

complementary=90 degrees

Answer 1

a represents the angle

90 - a represents its compliment

a = (90 - a) + 68

Can you solve for a and answer?

Answer 2

Hi, there! I'd love to help you out!

We know complementary angles add up to 90 degrees.

Let's say our first angle is x:

x = first angle

It tells us the other angle is 68 degrees more. So we are just adding 68 to our other angle:

x = first angle

x + 68 = second angle

Now add the two and set it equal to 90 degrees:

x + x + 68 = 90

2x + 68 = 90

-68 -68

2x = 22

/2 /2

x = 11 first angle

x + 68 = 11 +68 = 79 degrees second angle

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