Two angles are complementary. One angle is 8 more than the other. Find the larger angle.?

Answer 1

Let angles be x° and (x + 8)°
x + x + 8 = 90
2x = 82
x = 41
x + 8 = 49
Larger angle is 49°

Answer 2

let x be the smaller angle. because the larger angle is 8 more than the smaller angle, let the larger angle be (x+8). because the two is complementary, it makes 90 degrees. Then solve for x.
x + (x + 8) = 90 this would be the equation
x + x + 8 = 90
2x + 8 - 8 = 90 - 8 use addition property of equality, add negative 8 on both sides
2x = 82 just add
2x/2 = 82/2 use multiplication property of equality, multiply both sides by 1/2
x = 41 and you have one angle( smaller angle )
(x+8) = 41+ 8 = 49 you now have the larger angle
Check:
is x + (x+8) = 90?
41 + 49 = 90 ?
90 = 90...

so...the larger angle is 49 degrees...

Answer 3

complemantry means that two angles add together to form 90 degree

let the smaller angle is x then the larger one will be (x+8)

now ;
x+ (x+8) =90

2x+8 =90

2x=82

x= 41

so the larger angle = x+8
= 41+8
=49

Answer 4

complementary = 2 angles together add up to 90 degrees

let x be the first angle and x+8 be the second one

since it adds up to 90 degrees

we can say that x + (x+8) = 90

giving 2x = 82

hence x = 41
so the measure of the two angles are 41 and 49 degrees

Answer 5

suplimentary means sum of 2 angles=90degrees right?so
let the angle be x;
8+x + x=90;
2x=90-8
x=82/2=41 degrees.
so if x is 41 degrees then the larger angle will be 41+8=49 degrees.I think this is correct as the rule says that the sum of 2 angles =90 degrees and the sum of the 2 angles here is 41+49=90 degrees.

Answer 6

49

Complementary angles are 90 deg. 1 is 8 more than other. So, 90 + 8 = 98. Half gives you bigger angle. (49)

Answer 7

A+B=90 and A=8B
.
8B+B=90
9B=90
B=90/10=10 and A=8B=8x10=80
.another solution is; if A=B+8 ,,so that ,,(B+8)+B=90,
2B=90-8=82
B=82/2=41 and A=B+8=41+8=49
.

Answer 8

41 and 49. So the larger one is 49.