Two supplementary angles add up to 180 degrees. If one measures 60 less than the other, they must be 60 and 120 degrees, so the measure of the larger angle is 120 degrees. To find that algebraically, where m is the larger angle:
m+(m-60)=180
2m=240
m=120
112.5 degrees
Supplementary angles are two angles whose measures add to 180 degrees. Adjacent angles are two angles that happen to lie next to each other, so that they combine to form a larger angle whose measure is the sum of the measures of the adjacent angles. Angles may be both adjacent and supplementary, in which case they will form a straight angle.
120 (2/3 of 180)
180 - 35 = 145. Half of 145 is 72.5 which is the smaller angle. (The other angle is 35 + 72.5 ie 107.5)
For any given angle, its supplementary angle is 90 degrees larger than its complementary angle.
112.5 degrees
Supplementary angles are two angles whose measures add to 180 degrees. Adjacent angles are two angles that happen to lie next to each other, so that they combine to form a larger angle whose measure is the sum of the measures of the adjacent angles. Angles may be both adjacent and supplementary, in which case they will form a straight angle.
120 (2/3 of 180)
When 2 or more angles add up to 180 degrees they are said to be supplementary. Supplementary angles only occur on straight lines, so if one angle is said to be 120 the other angle has to be 60 degrees in order to form a straight line and also to add the angles to 180 degrees
180 - 35 = 145. Half of 145 is 72.5 which is the smaller angle. (The other angle is 35 + 72.5 ie 107.5)
Complementary angles are angles that add up to 90 degrees. If the smaller angle is x, the larger is 5x, so 6x = 90. X equals 15, and the larger angle measures 75 degrees.
72
For any given angle, its supplementary angle is 90 degrees larger than its complementary angle.
It is 125o Let the larger angle be α then the smaller is 2/5α + 5o; and α + (2/5α + 5o) = 180o ⇒ 7/5α = 175o ⇒ α = 125o
The question is contradictory as complimentary angles are defined as having a sum of 90 degrees.
the larger angle is 60 and the smaller angle is 30.complimentary angles are 2 angles forming 90 degrees.
Complementary angles total 90 degrees so smaller is 90/5 ie 18 and larger 72.