Math problem (angles)?

Question

"Two angles are complementary. One angle has a measure that is five times greater the measure of the other angle. What is the measure, in degrees, of the larger angle?"

Thanks!

Answer 1

Complementary angle means the sum of the measures of the angles is 90o.
Let A & B be the angles
A+B=90o
A=5B
6B=90
B=15o
A=75o

Thus larger angle measures 75o

Answer 2

Since these two angles are most likely on a right triangle and the sum of all three angles equal 180 degrees set up your equation like this.

let x = be the first unknown angle.
let 5x = the second unknown angle

5x + x + 90 = 180

combine like terms

6x + 90 = 180
- 90 = -90
6x = 90
/6 = /6

x = 15
5x = 75

so the answers are 15 and 75 degrees

Answer 3

If 2 angles are complementary,it means that their total is 90degrees.let the measure of first angle be x.so measure of second angle is 5x.
x+5x=90
6x=90
so x=90/6=15degrees
so 5x=15*5=75
the measure of the larger angle in degrees is 75degrees.

Answer 4

let the smaller angle be x
so, the larger anle is five times x = 5x
sum of complimentary angles = 90 (degrees)
x+5x=90
x=90/6 = 20/2 = 15
hence, larger angle = 15 * 5 = 75

Answer 5

OK!

Review the definition of "complementary": A pair of angles are complementary if the sum of their measures add up to 90 degrees.

So, now set up the problem.

A + 5*A = 90

A= 15 and 5*A=75

So, the larger angle is 75 degrees.\

Done!

Answer 6

let smaller angle be x. Then, larger one is 5x.
Now, as they are complementary,
5x+x = 90°
so, 6x = 90°
now, x = 15°

so, larger angle = 5x = 5 * 15° = 75°

Let me know if this helped. :)

Answer 7

If one angle = x, the other one is 2x + 60. Then x + 2x + 60 = 180 3x + 60 = 180 3x = 120 x = 40 One angle is 40, the other one is 140

Answer 8

complimentary = 90
5x + x = 90
6x = 90
x = 15
5x=75 (75 + 15 = 90)

Answer 9

75 degrees

Answer 10

complementry = 90 degrees.
(90/6)*5 is your answer