R s aggarwal mathematics class 7 Solutions for Chapter 17 constructions

Exercises in Chapter 17 constructions Grade 7

Constructions Exercise 17A

Constructions Exercise 17B

Constructions Exercise 17C

Questions in Constructions Exercise 17A

Draw a line AB and take a point P outside it. Draw a line CD parallel to AB and passing through the point P.

Questions in Constructions Exercise 17B

Construct a ΔABC in which BC = 3.6 cm, AB = 5 cm and AC = 5.4 cm. Draw the perpendicular bisector of the side BC.

Construct a ΔABC in which AB = AC = 4.8cm and BC = 5.3cm. Measure ∠B and ∠C. Draw AD ⊥ BC.

Construct a ΔABC in which AB = 3.8 cm, ∠A = $60^{\circ}$ and AC = 5 cm.

Questions in Constructions Exercise 17C

Mark against the correct answer in the following:

The supplement of $45^{\circ}$ is

$\begin{array}{llll} \text { (a) } 45^{\circ} & \text { (b) } 75^{\circ} & \text { (c) } 135^{\circ} & \text { (d) } 155^{\circ} \end{array}$

An angle is its own complement. The measure of the angle is

(a) $30^{\circ}$ (b) $45^{\circ}$ (c) $90^{\circ}$ (d) $60^{\circ}$

An angle is one-fifth of its supplement. The measure of the angle is

(a) $30^{\circ}$ (b) $15^{\circ}$ (c) $75^{\circ}$ (d) $150^{\circ}$

An angle is $32^{\circ}$ less than its supplement. The measure of the angle is

(a) $37^{\circ}$ (b) $74^{\circ}$ (c) $148^{\circ}$ (d) none of these

In the given figure, AOB is a straight line and the ray OC stands on it. If ∠BOC = $132^{\circ}$ , then ∠AOC =?

(a) $68^{\circ}$ (b) $48^{\circ}$ (c) $42^{\circ}$ (d) none of these

In the given figure, AOB is a straight line, $\angle \mathrm{AOC}=68^{\circ} \text { and } \angle \mathrm{BOC}=\mathrm{x}^{\circ}$ .

(a) 32 (b) 22 (c) 112 (d) 132

In the given figure, it is given that AOB is a straight line and 4x = 5y. What is the value of x?

(a) 100 (b) 105 (c) 110 (d) 115

In the given figure, two straight lines AB and CD intersect at a point O and ∠AOC = $50^{\circ}$ . Then ∠BOD =?

(a) $40^{\circ}$ (b) $50^{\circ}$ (c) $130^{\circ}$ (d) $60^{\circ}$

In the given figure, AOB is a straight line, $\angle \mathrm{AOC}=(3 \mathrm{x}-8)^{\circ}, \angle \mathrm{AOC}=50^{\circ} \text { and } \angle \mathrm{BOD}=(\mathrm{x}+10)^{\circ}$ . The value of x is

(a) 32 (b) 42 (c) 36 (d) 52

In ΔABC, side BC has been produced to D. if $\angle \mathrm{BAC}=45^{\circ} \text { and } \angle \mathrm{ABC}=55^{\circ}, \text { then } \angle \mathrm{ACD}=?$

(a) $80^{\circ}$ (b) $90^{\circ}$ (c) $100^{\circ}$ (d) $110^{\circ}$

In the given figure, side BC of ΔABC is produced to D such that $\angle \mathrm{ABC}=70^{\circ} \text { and } \angle \mathrm{ACD}=120^{\circ}$ . Then, ∠BAC =?

(a) $60^{\circ}$ (b) $50^{\circ}$ (c) $70^{\circ}$ (d) $35^{\circ}$