Question

Q3. The four angles of the quadrilateral are equal. Find measure of each angle
Q4. The base of parallelogram is 12 cm and its height is 18 cm. Find its area.
Q5. Find probability of getting a 4 by rolling a fair dice.​

Answer 1

Answer:

$(32000) \ 3000$

Answer 2

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Q3.

$\green{ \mathfrak{ \underbrace{formula}}}$

Sum of the angles of the quadrilateral = 360°

Let each angles of the quadrilateral be ∠a, ∠b, ∠c, ∠d

i.e., ∠a + ∠b + ∠c + ∠d = 360°

But, given that all the angles are equal

Therefore, ∠a = ∠b = ∠c = ∠d

Substitute ∠b, ∠c, ∠d in terms of ∠a

This gives, ∠a + ∠a + ∠a + ∠a = 360

4∠a = 360

∠a = 360/4

∠a = 90°

Therefore, ∠a = ∠b = ∠c = ∠d = 90°

Q4.

$\green{ \mathfrak{ \underbrace{formula}}}$

Area of a parallelogram = ½ x base x height

Base = 12 cm

Height = 18 cm

Area of a parallelogram = ½ x 12 x 18

= 12 x 9 = 108 cm²

Q5.

$\green{ \mathfrak{ \underbrace{formula}}}$

Probability of an event = P(E) = No. of favorable outcomes/Total no. of outcomes

Favourable outcomes = (1,4),(2,4),(3,4),(4,4)(5,4),(6,4),(4,1),(4,2),(4,3),(4,5),(4,6)

No. of favorable outcomes = 11

Outcomes =

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Total no. of outcomes = 36

Probability of getting a 4 on fair dice = 11/36