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 90 degree. Such angles are called acute angles

(c) 4 acute angles.

Counting Line Segments from Points

To make a line segment, we need to join 2 different points.

If we are given 5 points (say A, B, C, D, E), then we can count how many different line segments we can draw by finding how many different pairs of points we can make.

We use this formula:

Here, n=5

So, we can make 10 line segments.

Example Pairs:
AB, AC, AD, AE, BC, BD, BE, CD, CE, DE

Conclusion:
From 5 points, we can draw 10 different line segments.

• 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.

• The minute hand is at 12

• The hour hand is at 9

How do we find the angle between them?

• A clock is a circle. A circle has 360 degrees.

• There are 12 numbers on a clock.

• So, the space between each number is:
  360 ÷ 12 = 30 degrees

Now count how many numbers are between 9 and 12:

• From 9 to 12, there are 3 numbers (9 to 10, 10 to 11, 11 to 12)

So, the angle is:

• 3 × 30 = 90 degrees