Question

Drag the tiles to the correct boxes to complete the pairs.

Match the angles that are greater than 90° with their reference angles.

135°

Answer 1

30- 135
60- 330
90-270
45-240
Maybe?

Answer 2

Reference angle Angle greater than 90°

30° 330°

60° 240°

90° 270°

45° 135°

Explanation:

To find : Match the angles that are greater than 90° with their reference angles ?

Solution :

The reference angle is always the smallest angle that you can make from the terminal side of an angle with the x-axis.

For angles in first quadrant, the reference angle is itself.

In second quadrant, the equation would be 180 - x where x is the measure of the angle.

In third quadrant, x - 180.

In the fourth quadrant, the reference angle is 360 - x.

From the second set of angles in the given, the reference angles are.

1) For 135°

Reference angle = 180 - 135 = 45°

2) For 240°

Reference angle = 240-180 = 60°

3) For 270°

Reference angle = 90° (lies in the y - axis)

4) For 330°

Reference angle = 360-330 = 30°

Reference angle Angle greater than 90°

30° 330°

60° 240°

90° 270°

45° 135°