Reeta and Rohan were playing a game on parallel lines and the angles formed with the transverse line(ie alternate angles corresponding angle and interior angles). First Reeta drew a straight line AB then Rohan drew another straight line CD||AB. Further a transverse line PQ was drawn which intersects lines AB and CD at points X and Y respectively. Now they did toss with a coin and Rohan won the toss. Following were the rules of the game: A 1/2 BR's line 3 Y с Roas'stine 8 i. 11. Toss winner will ask a question and others will answer. If the answer is correct then person answering will ask question else questioner will ask next question Who wins the last question he she will be the winner. Total of 5 questions will be asked. iii. iv. Based on the above paragraph please answer these questions Which is the alternate interior angle to ∠6?
(a) ∠1 (b) ∠2 (c) ∠3 (d) ∠4
(ii) Which is the corresponding angle to ∠1?
(a) ∠4 (b) ∠5 (c) ∠6 (d) ∠7
(iii) If ∠4 = 120° then what is the measure of ∠6?
(a) 60° (b) 80° (c) 100° (d) 120°
(iv) What is the sum of ∠3
Answers
Answer:
1) c 2) b 3) d 4) 180
Step-by-step explanation:
Solution :-
(i)
→ The alternate interior angle to ∠6 = ∠3 (c)
(ii)
→ The corresponding angle to ∠1 = ∠5 (b)
(iii)
→ ∠4 = 120°
so,
→ ∠4 + ∠6 = 180° { Angle between parallel lines on same side of transversal are supplementry. }
→ 120° + ∠6 = 180°
→ ∠6 = 180° - 120°
→ ∠6 = 60° (d)
(iv)
→ ∠3 + ∠5 = 180° (a) { Angle between parallel lines on same side of transversal are supplementry. }
(v)
→ ∠5 = ∠4 { Alternate interior angles }
→ ∠5 = ∠4 { Vertically opposite angles }
So,
→ ∠5 = ∠4 and ∠8 (c)
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