Question

If an angle is 10° less than of one third of its complement find the measure of the angle

Answer 1

Answer: 15°

Step-by-step explanation:

Let the angle be x

we know that the sum of complement angles is 90°

so, its complement angle = (90 - x)°

given that the angle is 10° less than one third of its complement

ie , x = (90 - x ) × 1   - 10

                           3

ie, x + 10 = (90 - x) × 1

                                 3

ie, 3(x + 10) = 90 - x

ie, 3x + 30 = 90 - x

ie, 3x + x = 90 - 30

ie, 4x = 60

ie, x = 60/4   = 15°

Answer 2

Answer:

15 °.

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