Question

Select all that are measures of angles coterminal with a –60° angle. –1020° –780° –420° 60° 120° 300° 420° 660° select all that are measures of angles coterminal with a 145° angle. –575° –215° –145° –35° 215° 415° 505° 865°

Answer 1

Angles that are coterminal with a -60° angle are -1020°, -780°, -420°, 60°, 420°, and 660°. Angles that are coterminal with a 145° angle are -575°, -215°, -145°, -35°, 215°, 415°, 505°, and 865°.

Step-by-step explanation:

Angles that are coterminal with a -60° angle are angles that have the same initial and terminal side when measured in standard position. To find the angles, we need to add or subtract multiples of 360° to the given angle.

The measures of angles coterminal with a -60° angle are:

• -1020°
• -780°
• -420°
• 60°
• 420°
• 660°

For example, -1020° is coterminal with -60° because -1020° = -60° + (-1020° / 360°) * 360° = -60° + (-2) * 360°.

The measures of angles coterminal with a 145° angle are:

• -575°
• -215°
• -145°
• -35°
• 215°
• 415°
• 505°
• 865°

For example, -575° is coterminal with 145° because -575° = 145° + (-575° / 360°) * 360° = 145° + (-2) * 360°.

Answer 2

Coterminal angles are angles with the same initial and terminal sides. For a -60° angle, the measures of coterminal angles are -1020°, -780°, -420°, 60°, and 420°. For a 145° angle, the measures of coterminal angles are -575°, -215°, -145°, 215°, 415°, 505°, and 865°.

An angle is said to be coterminal if it has the same initial side and terminal side as another angle. To find the measures of angles coterminal with a -60° angle, we need to add or subtract multiples of 360° from -60°. The angles that are coterminal with -60° are -1020°, -780°, -420°, 60°, and 420°.

To find the measures of angles coterminal with a 145° angle, we need to add or subtract multiples of 360° from 145°. The angles that are coterminal with 145° are -575°, -215°, -145°, 215°, 415°, 505°, and 865°.