Geometry Quiz

In the given figure, ∠B = 65° and ∠C = 45° in triangle ABC, DE ∥ BC. If ∠DAB = x° and ∠EAC = y°, find the value of x + y.

1. 80°
2. 100°
3. 110°
4. 180°

Answer: (c) 110°

In the given figure, l∥m. If s and t are transversals such that s is not parallel to t, find the values of x and y.

1. x = 30°, y = 15°
2. x = 130°, y = 115°
3. x = 135°, y = 125°
4. x = 140°, y = 225°

Answer: (b) x = 130°, y = 115°

In the given figure, l//m and t is a transversal. If ∠1 and ∠2 are in the ratio 5 : 7, find the sum of the measure of the angles ∠1, ∠2, ∠3, and ∠8.

1. 360°
2. 540°
3. 270°
4. 105°

Answer: (a) 360°

In the given figure, AB∥EF, ED∥CB, and APE=39° . Find CQF.

1. 189°
2. 141°
3. 93°
4. 115°

A road crosses a railway line at an angle of 30° as shown in figure. Find the values of a and b.

1. a = 135°, b = 45°
2. a = 130°, b = 50°
3. a = 120°, b = 60°
4. a = 150°, b = 30°

Answer: (d) a = 150°, b = 30°

How many faces does the given shape have?

1. 6
2. 9
3. 10
4. 11

Answer: (a) 6

Count the number of faces in the given shape?

1. 5
2. 6
3. 8
4. 10

Answer: (c) 8

Fill in the blanks with the correct values: The figure below shows a solid has ___ rectangular faces, ___ triangular faces, ___ vertices and ___ edges..

1. 2, 3, 6, 9
2. 2, 4, 9, 6
3. 3, 2, 9, 6
4. 3, 2, 6, 9

Answer: (d) 3, 2, 6, 9

In the figure below, 2∠P = ∠QOR. OQ and OR are bisectors of ∠Q and ∠R respectively. Find ∠P.

1. 60°
2. 75°
3. 85°
4. 95°

Answer: (a) 60°

In the figure above, BC || DE and ∠ABC =∠CED and ∠A = ∠ACB - 30°. Find ∠A.

1. 30°
2. 40°
3. 85°
4. 95°

Answer: (b) 40°