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.

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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.

60 degrees.

Step-by-step explanation:

120 degrees = 180 - 120 or 60 degrees.

Supplementary angles are those which sum upto 180°

[tex]\angle 1+\angle2=180^{\circ}[/tex]

Complementary are those which sum to 90°

[tex]\angle 1+\angle2=90^{\circ}[/tex]

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

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

[tex]m\angle G=12^o[/tex]

so

[tex]m\angle G+m\angle C=90^o[/tex]

substitute

[tex]12^o+m\angle C=90^o[/tex]

[tex]m\angle C=90^o-12^o=78^o[/tex]

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

[tex]m\angle G=12^o[/tex]

so

[tex]m\angle G+m\angle S=180^o[/tex]

substitute

[tex]12^o+m\angle S=180^o[/tex]

[tex]m\angle S=180^o-12^o=168^o[/tex]

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:)

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

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

[tex]complement = 37 supplement = 127[/tex]

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

49.99

He gained 60,900 dollars for that land

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

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 [tex]\frac{180-x}{3}[/tex].

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 = [tex]\frac{180x}{3} +73[/tex]

[tex]2x=\frac{180-x+219}{3}[/tex]

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°.