Lines, Angles & Triangles - 2 - Free MCQ Practice Test with solutions,

Here the angle between any two consecutive numbers in a clock is 30^∘.
Now we know that when time is 30 minutes, then the minute clock will be at 6.
And when time is 10:30, the hour clock will be between 10 and 11. Let us draw a clock here for better understanding.

Now the number of parts (number) between 6 to 10 are 4. So an angle between 6 and 10 will be 4×30^∘=120^∘4×30^∘=120^∘. Similarly, there are 5 parts between 6 to 11. So the angle between 6 and 11 will be 5×30^∘=150^∘5×30^∘=150^∘.
Hence our angle will be between 120^∘ and 150^∘120^∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to 120^∘+150^∘2=270^∘2=135^∘120^∘+150^∘2=270^∘2=135^∘.
Hence our required angle between the hands of a clock as 10:30 is 135^∘.
Since 135^∘ is greater than 90^∘ so it is an obtuse angle.

At 3 O'clock the minute hand points at 12 (0°) and the hour hand points at 3 (90°).

The angle between them is |90° − 0°| = 90°.

Therefore, the hands make a right angle at 3 O'clock.

1. A star has both acute angles (less than 90°) and obtuse angles (greater than 90° but less than 180°).
2. In a standard 5-pointed star, the tips of the star have acute angles (less than 90°).

Since the star in the image is a 5-pointed star, all 5 tip angles are acute.

An angle greater than 0° and less than 90° is called an acute angle.

For reference: a right angle measures 90°; an obtuse angle measures more than 90° and less than 180°.

Measure of angle drawn by Danish = 40^∘
∴Measure of angle drawn by Manish = 40^∘

A triangle has three vertices and three sides; there is one interior angle at each vertex.

The sum of the interior angles of a triangle is 180°-a standard property of triangles.

Therefore, a triangle has 3 angles.

There are 0 acute angles in the given figures. As all the angles are 90⁰.

Parallel lines are two distinct coplanar lines that never meet; they have no point in common.

In Euclidean geometry this means they do not intersect, so option C is correct.

Note: coincident lines (the same line) meet at infinitely many points, but in school geometry coincident lines are not considered parallel.

The given angle is a acute angle, so option D and option C is not correct

The approximate value of above angle is 45o, as the angle of 20o would be very small than the given angle

Hence the correct answer is option B.