Angles Quiz

Explanation
A quarter turn is equivalent to rotating an object by 90 degrees.

Explanation
The value of angle d is 30 degrees.

Explanation
The value of the alternate angle is 149 degrees.

Explanation
The angle of b is 95 degrees.

Explanation
The alternate angle to a given angle is the angle that is on the opposite side of the transversal line, but on the same side of the other line. In this case, the letter "C" and "c" are on opposite sides of the transversal line and on the same side of the other line. Therefore, both "C" and "c" can be considered as the alternate angle.

Explanation
This image features a circle and several angles created by intersecting lines. Given that the 30° angle is adjacent to angle a, and that lines are parallel, we can apply angle relationships such as the Alternate Interior Angle Theorem and the fact that the angles around a point sum up to 360°.
Here's a step-by-step breakdown to find angles b and c:
Angle a: Since it's adjacent to the given 30° angle and the lines are parallel, angle a must also be 30° (alternate interior angles).
Angle b: Since a and b form a linear pair, they must sum to 180° (angles on a straight line). Thus, angle b = 180° - 30° = 150°.
Angle c: Since b and c are vertically opposite angles, angle c = angle b = 150°.
Therefore, both b and c are 150°.