Related Skills

► Skill Involving Angles and Lines 1

► Skill Involving Angles and Lines 2

► Angles and Lines

► Four sided Figures

1. The figure below is not drawn to scale. It is made up of a trapezium ABCD and a triangle ABE. Find ∠a.

Ans :- ∠a = 28°.

2. In the figure below, not drawn to scale, ABCD is a trapezium.

The ratio of ∠ABC to ∠BCE to ∠ECD is 4 : 3 : 3.

∠BAD is 118° and ∠ADE = ∠CDE. Find ∠CED.

Ans :- ∠CED = 95°.

3. Below are 5 points: A, B, C, D and E.

(a) Name any four trianlges that can be formed with the points given.

(b) Name any four 4-sided figures that can be formed with the points given.

Ans :- a) AEB, BCD , AED, ABC

b) AEDB, BCDA, BCDE, ABCE.

4. Find the value of n.

Ans :- n = 75°.

5. PQRS is a parallelogram. What is the value of k?

Ans :- k = 115°.

6. ABCD is a trapezium. ABC is an isoscelces triangle. Find ∠ABC.

Ans :- ∠ABC = 120°.

7.Find the value of p in the diagram.

Ans :- 64°.

8. The figure below is not drawn to scale. Given that PQRS is a rhombus,

find
(a) ∠TPR;

(b) ∠TRS.

Ans :- a) 16.5∠TPR =

b) ∠TRS 289
.

9. The figure below is not drawn to scale, ABCD and PQRD are parallelograms.

(a) Find ∠ADR.

(b) Find ∠QTA.

(c) Name an angle in the figure which is equal to ∠BCD.

Ans :- a) ∠ADR = 57.

b) ∠QTA = 74

c)
∠BAD.

10) In the figure below, not drawn to scale, PQV, PTR, QUR and STV are straight lines. What is the value of ∠a + ∠b?

Ans :- 57°.