Find the measure of the angle below?

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Find the measure of the angle below?

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Answer 1 · 2018-06-30T01:15:52

$255^{\circ}$ $255^@$

Explanation:

We can interpret our angle as two parts:

$a .$ $a.$ The $75^{\circ}$ $75^@$ angle

$b .$ $b.$ The angle around the $x$ $x$ -axis

The angle we're looking for will be given by $a + b$ $a+b$ . So what's $b$ $b$ ?

Well, we notice the angle looks reminiscent of a semicircle, which we know has a measure of $180^{\circ}$ $180^@$ , so this is our $b$ $b$ .

This makes intuitive sense too:

If we go from the negative $x$ $x$ axis to the positive $y$ $y$ axis, we moved $90^{\circ}$ $90^@$ . If we go from there to the positive $x$ $x$ axis, we moved another $90^{\circ}$ $90^@$ . We traveled $180^{\circ}$ $180^@$ .

Thus, the measure of this angle will be

$75 + 180$ $75+180$

$\Rightarrow 255^{\circ}$ $=>255^@$

Hope this helps!

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Find the measure of the angle below?

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