I NEED major math hw help?

Question

Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.
can someone help me please!

Answer 1

Hi,

x = larger angle
y = smaller angle

Supplementary angles add up to 180°.
x + y = 180

The smaller angle, y, is half the measure of the larger angle, x.
y = ½x

Substituting this into the first equation:

x + ½x = 180

1½x = 180

1½x ÷ 1½ = 180 ÷ 1½

x = 120
y = 60

I hope that helps!! :-)

Answer 2

if the two angles are supplementary, then that means the number of degrees add up to 180, and create a line. so if the smaller angle is one-half the measurement of the larger angle, you would divide 180 by THREE, because logically thinking, one angle being half the degrees of the larger would mean you can fit two of the smaller in the larger, plus the smaller agin, gives you three of the smaller angles to fit inside the 180 degree spacial slot. so that would give you 60 degrees for the smaller angle, then multiply that by two to get the larger angle: 120 degrees. if you add those two numbers up you will find it still gives you 180 and works, therefore, to solve this problem.

thank you for giving me some math to do in my spare time lol. hope this helped.

Answer 3

The larger angle is L, the smaller is S.

Because they are supplementary,
L + S = 180

so
S = 180 - L

Since
S = L/2

L/2 = 180 - L
3L/2 = 180
L = 2*180/3 = 120.

So L = 120

Answer 4

Supplementary means two angles add up to 180 degrees.
So the answer is 120 degrees.

Answer 5

Supplementary angles have measures that add up to 180.
Let x = the measure of the smaller angle.
Then 180 - x = the measure of the larger angle.

0.5(180 - x) = x
90 - 0.5x = x
90 = 1.5x
90/1.5 = x
x = 60
So the larger angle measures 120 degrees.

I hope this helps!

Answer 6

supplementary angels sum to 180 deg.

so you have two angles I'll call A and B where a is the smaller angle.

A + B = 180 : by definition
A = B/2 : 1/2 the larger
so B/2 + B = 180 by substitution
3/2B =180
B = 180/(3/2)
B = 120
A = B/2 so A = 60

Answer 7

supplementary = 180 degrees
x + 2x = 180 solve for x
x = 60
the larger angle is equal to 120 degrees

Answer 8

the larger angle is 120 degrees because say both angles equal 180 so call them x and y

x+y=180
2y=x
insert
(2y)+y=180
3y=180
y=60
2y=x
so x=120 degrees

Answer 9

Angle S + angle L = 180
L/2 + L = 180
3L/2 = 180
3L = 360
L = 120

Answer 10

if the two angles are supplementary, then that shows the quantity of ranges upload as much as a hundred 80, and create a line. so if the smaller perspective is one-area the size of the better perspective, you ought to divide a hundred 80 by using 3, for the rationalization that logically thinking, one perspective being area the ranges of the better ought to intend you will have compatibility 2 of the smaller in the better, plus the smaller agin, provides you with 3 of the smaller angles to slot in the a hundred 80 degree spacial slot. purely so ought to offer you 60 ranges for the smaller perspective, then multiply that by using 2 to get the better perspective: a hundred twenty ranges. in case you upload those 2 numbers up you are going to discover it inspite of the indisputable fact that provides you with a hundred 80 and works, as a effect, to sparkling up this occasion. thank you for giving me some math to do in my spare time lol. prefer this helped.