To find the measure of the complementary angle to an angle that measures 57°, you need to subtract the given angle from 90°, as complementary angles add up to 90°.

Complementary angle = 90° – 57° = 33°

So, the measure of the complementary angle is 33°.

The correct answer is (b) 33°.

To find the measure of the supplementary angle to an angle that measures 57°, you need to subtract the given angle from 180°, as supplementary angles add up to 180°.

Supplementary angle = 180° – 57° = 123°

So, the measure of the supplementary angle is 123°.

The correct answer is (d) 123°.

A line which cuts two or more parallel lines is known as a “Transversal.”

So, the correct answer is (c) Transversal.

A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.

Among the given options:

• (a) 30° is an acute angle.
• (b) 120° is an obtuse angle.
• (c) 180° is a straight angle.
• (d) 230° is a reflex angle.

So, the correct answer is (d) 230°.

When two lines intersect each other, they form four angles. These angles are called vertical angles, and any two adjacent angles among them are:

(a) Equal

So, the correct answer is (a) Equal.