How do you sketch the angle 235 degrees and find its reference angle?

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Answer 1 · 2018-04-02T04:22:42

Reference Angle of $235^@$ is $55^@$ .

Given:

The angle given is $/_BAC=235^@$ (in the counterclockwise direction).

The reference angle is the angle that the given angle makes with the x-axis.

Regardless of where the angle ends, the reference angle measures the closest distance of that terminal side to the x-axis.

In the picture that follows, $alpha$ is the given angle in the standard position.

Reference angle is the acute angle formed by the terminal side of $alpha$ and the x-axis.

$beta$ is the reference angle.

$/_DAC=55^@$ is the required reference angle.

To verify our result, we can graph the angle in the standard position and the reference angle using a software as shown:

enter image source here