Question

answer this question​

Answer 1

18) Given that:

• PQ | | RS

To Find:

The value of

1. Angle a.
2. Angle b.

In the △ PQR,

• ∠PQR = 70°
• ∠QPR = 65°

∠PQR +∠QPR + ∠PRQ = 180° (Triangle Property)

ㅤ↠ㅤ70° + 65° + ∠PRQ = 180°

ㅤ↠ㅤ∠PRQ = 180° - 70° - 65°

ㅤ↠ㅤ∠PRQ = 45°

And,

∠PQR = b (∵PQ | | RS)

ㅤ↠ㅤb = 70°

Here,

∠PRQ + a + b = 180° (Linear pair)

ㅤ↠ㅤ45° + a + 70° = 180°

ㅤ↠ㅤa = 180° - 45°- 70°

ㅤ↠ㅤa = 65°

Hence,

The value of

1. Angle a = 65°
2. Angle b = 70°

19) Given that:

• ∠A = x
• ∠B = x
• ∠C = 110°

To Find:

• The value of x in the △ ABC.

In the △ ABC,

∠A + ∠B + ∠C = 180° (Triangle Property)

ㅤ↠ㅤx + x + 110° = 180°

ㅤ↠ㅤ2x + 110° = 180°

ㅤ↠ㅤ2x = 180° - 110°

ㅤ↠ㅤ2x = 70°

ㅤ↠ㅤx = 70°/2

ㅤ↠ㅤx = 35°

Hence,

• The value of x in the △ ABC is 35°.

20) Given that:

• Rashmi obtained 480 marks out of 600.

To Find:

• Her percentage of marks obtained.

ㅤ↠ㅤPercentage = (480 × 100)/600 %

ㅤ↠ㅤPercentage = 48000/600 %

ㅤ↠ㅤPercentage = 80%

Hence,

• Her percentage of marks obtained = 80%.

OR)

Given that:

• Selling price of a computer = Rs 16,875
• Profit = Rs 1875

To Find:

• The profit percentage.

Finding its cost price:

Cost price = Selling price - Profit

ㅤ↠ㅤCost price = Rs (16875 - 1875)

ㅤ↠ㅤCost price = Rs 15000

Finding its profit percentage:

Profit % = (Profit × 100)/(Cost price) %

ㅤ↠ㅤProfit % = (1875 × 100)/15000 %

ㅤ↠ㅤProfit % = 187500/15000 %

ㅤ↠ㅤProfit % = 12.5 %

Hence,

• The profit percentage = 12.5%

Answer 2

Question 1 :-

In the given figure, if PQ || RS, then find the value of angle a and angle b.

Given :-

• PQ || RS.

To Find :-

• angle a and angle b.

Solution :-

★ In Triangle QPR :

Let the missing angle be x.

⇒65° + 70° + x = 180° [ triangle property ]

⇒135° + x = 180°

⇒x = 180° - 135°

⇒x = 45°

Therefore, the missing angle is 45°.

★ Since, QP || RS,

⇒Angle α° = 65° [ Alternative angle ]

★ Since, QP||RS,

⇒Angle b = 70° [ corresponding angle ]

______________________

Question 2 :-

Find the value of x in triangle ABC.

Given :-

• A = x

• B = x

• C = 110°

To find :-

• The value of x.

Solution :-

⇒angle α + angle b + angle c = ,180° [ triangle property ]

⇒x + x + 110° = 180°

⇒2x = 180° - 110°

⇒2x = 70°

⇒x = 70/2

⇒x = 35°

Therefore, the value of x in triangle ABC is 35°

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Question 3 :-

By selling a computer for RS.16875 a profit of RS.1875 is made. Find the profit percentage.

Given :-

• S.P = Rs.16875

• Profit = Rs.1875

To find :-

• C.P

• The profit percentage.

Solution :-

★ Cost Price :

⇒Profit = S.P - C.P

⇒1875 = 1687 - C.P

⇒C.P = 16875 - 1875

⇒C.P = 15000

Therefore, the C.P of the computer is Rs.15000

★ Profit percentage :

⇒Profit % = Profit × 100/C.P

⇒Profit % = 1875 × 100/15000

⇒Profit % = 1875/150

⇒Profit % = 12.5

Therefore, the profit % is 12.5%

______________________

Joyful learning!!! ⛅