Question

Find one positive and one negative angle coterminal with an angle of 166°. 1) 526°, –194°2) 516°, –14°3) 526°, –764) 256°, –76°

Answer 1

A coterminal angle is an angle that points to an exact direction like the original angle.

Since a complete circle is 360 degrees.

The positive coterminal angle will be

`360^0+166^0=526^0`

Hence the positive coterminal angle is 526°

Then the negative coterminal angle will be

`166^0-360^0=-194^0`

hence the negative coterminal angle will be -194°

The positive and negative coterminal angle to 166° are 526°, -194°

Therefore the right option is 1(A)