Test: Lines and Angles - 2 - Class 6 MCQ

An obtuse angle is one that is greater than 90° but less than 180°. Since 135° falls within this range, it is classified as an obtuse angle.

A reflex angle is one that measures more than 180° but less than 360°. It represents the larger angle that is formed by extending a straight angle beyond 180°.

A full turn is a complete rotation around a point, which measures 360°. This is why a circle is divided into 360 equal degrees.

The correct answer is C: Parallel angle.

Parallel angle is not a type of angle based on its measure. The other options are types of angles:

• Acute angle: Less than 90°.
• Obtuse angle: Greater than 90° but less than 180°.
• Reflex angle: Greater than 180° but less than 360°.

Parallel refers to lines that never meet, not an angle.

An angle bisector is a line or ray that divides an angle into two equal parts, creating two angles of the same measure.

Let's examine the angles in the figure:

• 45° is an acute angle.
• 40° is an acute angle.
• 30° is an acute angle.
• 65° is an acute angle.

All angles that are less than a right angle or in other words, less than a quarter turn. Such angles are called acute angles

(c) 4 acute  angles.

Let's break it down in a simple way:

In the given figure, we have 5 points labeled A, B, C, D, and E.

To find how many line segments can be made, we need to think about connecting any two points with a straight line. A line segment is a straight line that connects two points.

Now, with 5 points, we can connect each point to every other point. For example:

• A can connect to B, C, D, and E.
• B can connect to C, D, and E (but we already counted AB, so no need to count it again).
• C can connect to D and E (we've already counted AB, AC, and AD).
• D can connect to E.

If we count all the connections, we get a total of 10 line segments.

So, the answer is 10 line segments, and the correct choice is (b) 10.

• If you are given two distinct points, only one straight line can pass through both of them. This is a basic rule in geometry.
• There can be no more than one line passing through two points because a straight line is uniquely determined by any two points on it.

So, the answer is 1 line.