An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?

Let the angle be x.  The complement of this angle would then be 90-x.

We are told that x is 10 more than 90-x, or       x is 90-x+10, or x= 100 - x.

If x = 100 - x, then 2x = 100, and x = 50.

Check:  If one angle is 50 degrees, the complement is 90-50, or 40 degrees.

Are 50 and 40 complementary?  Yes.  They add up to 90.  Is 50 10 more than 40?  Yes.

The measurements of these two angles are 40 and 50 degrees.

The two angles are 85 and 95 degrees

Step-by-step explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less,  ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )