Question

Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.

Answer 1

Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).

What are coterminal angles?

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

Given to us

θ = 45°

We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.

In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.

$\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o$

Hence, the coterminal angle for angle 45° is (270°+45°).

Learn more about Coterminal Angle:

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