1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measure of the angles.

2) If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles?

Please don't just give me the answers, but tell me how you got them. Thank you.

You're very welcome. :-)

THE MEASURE OF ONE ANGLE IS 15 DEGREES MORE THAN HALF THE MEASURE OF ITS COMPLEMENT. FIND THE MEASURE OF THE TWO ANGLES

Melanie your stupid for knowing that(No offense :/)

But I was going to say the same thing Ms.Sue was going to say.

The measure of a third angle in an isosceles triangle is 82.5 more than the measure of the two equal angles. whats the angle of the third.

an angle is 35 degrees more than triple its supplement. find the measures of the angles

Sure! Let's solve each problem step by step and explain the process.

1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measure of the angles.

Complementary angles are angles that add up to 90 degrees. Let's say one angle measures x degrees. Then, the other angle measures (90 - x) degrees.

According to the given information, the measure of one angle is 21 more than twice the measure of the other angle. This can be written as:

x = 2(90 - x) + 21

Now, let's solve this equation:

x = 180 - 2x + 21
x + 2x = 180 + 21
3x = 201
x = 201/3
x = 67

So, one angle measures 67 degrees, and the other angle measures 90 - 67 = 23 degrees.

2) If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles?

Supplementary angles are angles that add up to 180 degrees. Let's say one angle measures x degrees. Then, the other angle (its supplement) measures (180 - x) degrees.

According to the given information, the supplement of an angle has a measure 78 less than the measure of the angle. This can be written as:

180 - x = x - 78

Now, let's solve this equation:

180 - x + x = x - 78 + x
180 = 2x - 78
180 + 78 = 2x
258 = 2x
x = 258/2
x = 129

So, one angle measures 129 degrees, and the other angle (its supplement) measures 180 - 129 = 51 degrees.

I hope this helps! Let me know if you have any further questions.

Thank you!!!(= I get it now

1) Complementary angles add up to 90 degrees.

Let x = the smaller angle. Solve for x.

x + 2x + 21 = 90

2) Supplementary angles add up to 180 degrees.

Take it from there.