answersLogoWhite

0


Best Answer

Suppose the angle is x degrees. Then its complement is 90 - x deg

So 90 - x = 4*x

ie 90 = 5x or x = 18 degrees.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: The complement of an angle is 4 times greater than the angle What is the measure of the angle?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

The measure of the supplement of an angle is 40 less than 3 times its complement Find the measure of the angle its supplement and its complement?

25


Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 60"The measure of the angle is?

explement of the angle or conjugate of an angle


An angle and its complement always have a sum of 90 degrees. The sum of the measures of an angle and five times its complement is 298 degrees. What is the measure of the angle?

Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees


What is the measure of an angle whose measure is 5 times that of its compliment?

Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represent one angle and 5x represent the angle that is 5 times greater: x + 5x = 90 (simplify) 6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle]) x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle) 90 - 15 = 75 (this is the greater angle which is 5 times that of its complement)


The supplement of an angle measures 10 times its complement What is the measure of the angle?

Let the angle be A, then the supplementary angle is (180 - A) and the complementary angle is (90 - A). But, 180 - A = 10(90 - A) = 900 - 10A 9A = 720 A = 80° The supplementary angle = 100° and the complementary angle = 10°

Related questions

If an angle has five times the measure of a complement to it what is the measure of the angle?

15°


If the complement of an angle is five times the measure of the angle itself find the angle and its complement?

go off


Three times the measure of the supplement of an angle is equal to eight times the measure of its complement Find the angle its complement and its supplement?

The angle= 36, the supplement= 144, the compliment=54


The measure of the supplement of an angle is 40 less than 3 times its complement Find the measure of the angle its supplement and its complement?

25


Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 60"The measure of the angle is?

explement of the angle or conjugate of an angle


An angle and its complement always have a sum of 90 degrees. The sum of the measures of an angle and five times its complement is 298 degrees. What is the measure of the angle?

Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees


If the measure is four times the measure of the complement what is the measure of the angle?

Suppose the angle is x then its complement is 90-x So 4*(90-x) = x or 360 - 4x = x so that 360 = 5x => x = 72 degrees


What is the measure of an angle whose measure is 5 times that of its compliment?

Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represent one angle and 5x represent the angle that is 5 times greater: x + 5x = 90 (simplify) 6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle]) x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle) 90 - 15 = 75 (this is the greater angle which is 5 times that of its complement)


The comlpement of an angle is five times the measure of the angle itself find the angle and its complement?

Complementary angles add up to 90 degrees. If one angle is five times the measure of the other, you can express their measurements as 5x and x. The original angle is x degrees and its complement is 5x degrees. Set the sum of the two angles equal to 90 and solve for x. 5x + x = 90 6x = 90 x = 15 The angle is 15 degrees. Its complement is 5(15) = 75 degrees. 75 + 15 = 90.


An angle is five times its complement find its measure?

Suppose the angle is x degrees. Then its complement is x/5 deg So x + x/5 = 90 or 6x = 450 ie x = 75 degrees.


An angle whose supplement is 54 degrees less than 4 times its complement?

an angle that is 54 degrees less than 4 times its complement


The supplement of an angle measures 10 times its complement What is the measure of the angle?

Let the angle be A, then the supplementary angle is (180 - A) and the complementary angle is (90 - A). But, 180 - A = 10(90 - A) = 900 - 10A 9A = 720 A = 80° The supplementary angle = 100° and the complementary angle = 10°