Lines and Angles Quiz

In the given quadrilateral ABCD, po + qo = 100o, ao = 140o and ro= 1/2 (ao + qo). Find the value of so.

1. 180o
2. 80o
3. 90o
4. 160o

Answer: (d) 160o

In the given figure, find the value of x.

1. 109o
2. 121o
3. 91o
4. 70o

Answer: (a) 109o

In the diagram shown, G lies on BC, B and D lie on AF, EA || GF, ∠EAD = 32°, and ∠ABC = 104°. Find the value of ∠FCG.

1. 113o
2. 105o
3. 116o
4. 108o

Answer: (d) 108o

In the figure, r||t. What is the value of x + y?

1. 56o
2. 37o
3. 59o
4. 10o

Answer: (b) 37o

In the given figure, AB||CD||EF. Find the value of (y + x) : (y - x).

1. 21 : 5
2. 8 : 21
3. 20 : 4
4. 4 : 20

Answer: (a) 21 : 5

The sides AB and AC of a ΔABC are produced P and Q respectively. The bisectors of ∠PBC and ∠QCB intersect at O. Find the value of ∠BOC if ∠ABC = 36o and ∠ACB = 24o.

1. 60o
2. 30o
3. 40o
4. 70o

Answer: (b) 30o

In the above figure, r||t. What is the value of 2a + 2b - c?

1. 365o
2. 155o
3. 200o
4. 255o

Answer: (a) 365o

In the figure l||m. What is the value of y?

1. 155o
2. 145o
3. 125o
4. 105o

Answer: (c) 125o

In the figure , lines l and m are parallel and BD bisects ∠ABC. What is the value of x?

1. 42o
2. 34o
3. 54o
4. 14o

Answer: (c) 54o

In the figure, l||m, r is perpendicular to t and ∠1 = 32o. Lines l, r and t intersect at one point. Find the sum of angles ∠5 and ∠6.

1. 100o
2. 50o
3. 80o
4. 90o

Answer: (d) 90o