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.

In the given figure, we need to identify the number of obtuse angles. An obtuse angle is one that is greater than 90° but less than 180°.

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.

None of these are obtuse angles.

However, the figure might have other angles formed by the extended lines, which are greater than 90° and less than 180°. Based on the options and understanding the figure, the correct answer is:

(c) 4 obtuse 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.