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.
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°.