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3 years ago

The measure of an angle is three more than twice its supplement. What is the measure of the angle?

Mathematics

1 answer:

Zinaida [17]3 years ago

7 0

Answer: the angle is 1°+n×120°

1°, 121°, 241°

Step-by-step explanation:

Angles are taken modulo 360°, so 363° = 3°.

Angle plus supplement gives 180°.

Let a be angle, s be supplement of a.

So s = 180-a. Given a = 3 + 2s

a = 3 + 2(180 - a)

a = 3 + 360 - 2a = 363 - 2a

3a = 363° or 3° or 723°

a = 121° or 1° or 241°

a = 1°

s = 179°

2s = 358°

2s+3 = 361° = 1° (modulo 360)

a = 121°

s = 180-121 = 59°

2s = 118°

2s + 3 = 121°, as required.

a = 241°

s = 360+180-241 = 540-241 = 299

2s = 598

2s + 3 = 601 = 241 (modulo 360)

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Step-by-step explanation:

* Lets explain how to find the inverse of a function

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- Change y by $f^{-1}(x)$

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∴ $f^{-1}(x)=g(x)$

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- To find f(g(x)) substitute x in f(x) by g(x)

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