# The supplement of the complement of an angle less the complement of an angle exceeds

The supplement of the complement of an angle less the complement of an angle exceeds the quotient of the supplement of the angle and the number 3 by 73. find the angle.

## This Post Has 12 Comments

1. isisg8 says:

60 degrees.

Step-by-step explanation:

120 degrees = 180 - 120 or 60 degrees.

2. hanjonez says:

Supplementary angles are those which sum upto 180°

$\angle 1+\angle2=180^{\circ}$

Complementary are those which sum to 90°

$\angle 1+\angle2=90^{\circ}$

so if you know one angle, you can find other.

3. omar1511 says:

complement is 78°, supplement is 168°

Step-by-step explanation:

Part 1) Find the measure of the complement

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

C ----> the complement of the given angle

we have

$m\angle G=12^o$

so

$m\angle G+m\angle C=90^o$

substitute

$12^o+m\angle C=90^o$

$m\angle C=90^o-12^o=78^o$

Part 2) Find the measure of the supplement

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

Let

S ----> the supplement of the given angle

we have

$m\angle G=12^o$

so

$m\angle G+m\angle S=180^o$

substitute

$12^o+m\angle S=180^o$

$m\angle S=180^o-12^o=168^o$

4. shantejahtierr3754 says:

The correct answer would C. Complement 70. supplement 160.

Step-by-step explanation:

60+B+B=9060–60+B+B=90–60B+B=302B=302÷2B=30÷2B=15

Therefore, since A=B+60 then  A=15+60 which equals 70 . SO the answer would C.

* Hopefully this helps:) Mark me the brainliest:)

5. chriscendypierre56 says:

Look at my explaination

Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees

The supplement of 145 is 180-145=35 degrees

The compliment of 27 degrees is 90-27=63 degrees

The supplement of 50 degrees is 180-50=130 degrees

6. Expert says:

the two may have that, even a breakdown is probably offered

7. ChocCole says:

$complement = 37 supplement = 127$

8. raquelrivera03 says:

C) complement, 37°, supplement, 127°

Step-by-step explanation:

We know that complementary angles add to 90 degrees

x+53 =90

Subtract 53 from each side

x+53-53=90-53

x = 37

We know that supplementary angles add to 180

x+53 =180

Subtract 53 from each side

x+53-53= 180-53

x = 127

9. quincytonia says:

49.99

10. Expert says:

He gained 60,900 dollars for that land

11. Queenjlife2583 says:

But i think

Complemantary are angles whose sum is 90 and supplementary are the ones whose sum is 180

So
Complementary of 60 is 30
And
Supplementary is 120

Pleasee tell where i m wrong but this is what i studied and i am sure its correct

12. kenyakids405 says:

Complement of an angle = 90° - x.

Supplement of the complement of an angle = 180 - (90 - x).

= 180 - 90 + x

= 90 + x

Supplement of the complement of an angle less the complement of an angle = (90 + x) - (90 - x)

= 90 + x - 90 + x

= 2x

Now, the quotient of the supplement of the angle and the number 3 is $\frac{180-x}{3}$.

It is given that supplement of the complement of an angle less the complement of an angle exceeds the quotient of the supplement of the angle and the number 3 by 73.

Therefore, 2x = $\frac{180x}{3} +73$

$2x=\frac{180-x+219}{3}$

Multiply both sides by 3.

6x = 180 - x + 219

= 399 - x

Add x to both sides.

6x + x = 399

7x = 399

Divide both sides by 7.

x = 57

Hence, the required angle = 57°.