Algebra and Trig question. Please show work! Serious replies only! Thankyou so much!!?

Question

Two angles are complementary. One angle is 15 degrees less than twice the other. Find the measure of the larger angle.

a). 35 degrees
b). 60 degrees
c). 55 degrees
d). 25 degrees.

Answer 1

x+y = 90
x = 2y-15

3y-15 = 90 so 3y = 105 so y = 35
x = 90 - 35 = 55
so (c)

Answer 2

Let x be the "other" angle. Then the first angle would be 2x-15. Complementary angles add up to 90 degrees. So the equation reads x + (2x-15) = 90. Simplify, 3x-15 = 90. Add 15 to both sides, 3x = 105. Divide both sides by 3, x = 35. That's the smaller angle. The first angle is 2x35-15, which is 55 degrees. That's the larger angle, so "c" is the answer.

Answer 3

Let x and y be the measures of the two angles (x is bigger)
Then x+y = 90
x= 2y -15
So 2y-15+y = 90
y= 35
x= 55
The answer is (c)

Answer 4

Two angles are complementary if their sum is 90º.

Let x be angle 1, and let y be angle 2.
y = 2x - 15.

x + y = 90
x + (2x - 15) = 90
3x - 15 = 90
3x = 90 + 15
3x = 105.
x = 105/3
x = 35

y = 2x - 15.
y = 2 * 35 - 15
y = 55

So the larger angle is 55º. The answer is C.

Answer 5

the sum of completmentary angles equals 90.

let x = one angle
then the other angles euals 2x - 15

the sum of the two angles = 90 so,

x + 2x - 15 = 90
3x - 15 = 90
3x = 105
x = 35
larger angle = 90-35 or 2x-15 = 55

Choice C.

Answer 6

A complementary angle is 90 degrees.
x+2x-15=90
3x-15=90
3x=105
x=35
2(35)-15
70-15=55

The answer is c.

Answer 7

x+y=90
x=2y-15 so 2y-15 +y= 90
3y=105and y =35 degrees x=55 degrees(c)

Answer 8

two angles complementry means sum of two angles is 90 deg.
let one angle be x deg
then other angle is 2x-15
now
x+(2x-15) = 90
3x = 105
x = 35 deg

Answer 9

x + (2x-15) = 90
3x - 15 = 90
3x = 75
x = 25
2x - 15 = 35

so (a)