Question

An angle measures 33.4° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Hey there!

Please remember that complementary angles add up to 90 degrees.

Let's set up an equation in order to find the 2 angles.

• Let the unknown angle be w.

w+33.4=90

That's only half of our equation, because we have two angles.

So the right equation is

w+w+33.4=90

Add the w's:

2w+33.4=90

Subtract 33.4 from both sides:

2w=90-33.4

2w=56.6

Divide both sides by 2:

w=28.3

Add 33.4:

28.3+33.4=61.7

Add the angles together:

61.7+28.3=90

It works! :-)

Hope everything is clear.

Let me know if you have any questions!

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