Angle ABC is 10 more than its complement. What is the measure of Angle ABC?

Question

this one question. angles confuse me, honestly. 

Answer 1

Hi Johanna

 

Remember complementary angles are two angles whose sum is 90°.

 

One angle is ABC.  Let's call that X.

The other angle will be Y.

 

So

X + Y = 90

 

And the first sentence tells us that X = Y+10

 

We can substitute this expression for X in the first equation.

 

X + Y = 90

(Y+10) + Y = 90

 

2Y + 10 = 90

2Y = 80

Y = 40

 

And since X = Y+10

X = 50

ABC = 50