Question

Two Complementary angles differ by 12°
angles?
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Answer 1

Step-by-step explanation:

1. the sum of two complementary angles is =180degrees
2. one angle is x another angle is x+90
3. x+x+12=90
4. 2x+12=90
5. 2x=90-12=78
6. x=78/2= 39degrees
7. one angle is x=39degrees
8. another angle is x+12=39+12=51degrees.

Answer 2

Answer:

Let one of the angles be x, then the other angle = x + 12.

Since, x and (x + 12) are complementary their sum must be equal to 90.

x + ( x + 12 ) = 90

x + x + 12 = 90

2x + 12 = 90

2x = 90 - 12

2x = 78

x = $\frac{78}{2}$

x = 39

One of the angle is 39°.

the other angle = x + 12 = 39 + 12

= 51

Hence the angles are 39° and 51°.

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