SSC CGL Exam > SSC CGL Questions > A, B, C are the three angles of a Δ. If...
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A, B, C are the three angles of a Δ. If A − B = 15° and B − C = 30°. Then ∠A is equal to :
- a)65°
- b)80°
- c)75°
- d)85°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A, B, C are the three angles of a Δ. If A − B = 15° an...
Since A, B and C are the angles of a Δ,
∴ A + B + C = 180° .................... (1)
According to question,
A – B = 15° ;
⇒ A = B + 15°...................(2)
B – C = 30°;
⇒ B = C + 30°;....................(3)
Put the value of B from equation (2) in Equation (1), we will get
∴ A = B + 15°
A = C + 30° + 15°
A = C + 45° ......................(4)
From a equation,
∴ A + B + C = 180°
⇒ (C + 45°) + (C + 30°) + C = 180°
⇒ 3C + 45° + 30° = 180°
⇒ 3C = 180° – 75° = 105°
⇒ C = 35° ...........................(5)
From equation (4)
A = C + 45°
Put the value of C from equation (5) , we will get
∴ ∠A = 35° + 45° = 80°.
∴ A + B + C = 180° .................... (1)
According to question,
A – B = 15° ;
⇒ A = B + 15°...................(2)
B – C = 30°;
⇒ B = C + 30°;....................(3)
Put the value of B from equation (2) in Equation (1), we will get
∴ A = B + 15°
A = C + 30° + 15°
A = C + 45° ......................(4)
From a equation,
∴ A + B + C = 180°
⇒ (C + 45°) + (C + 30°) + C = 180°
⇒ 3C + 45° + 30° = 180°
⇒ 3C = 180° – 75° = 105°
⇒ C = 35° ...........................(5)
From equation (4)
A = C + 45°
Put the value of C from equation (5) , we will get
∴ ∠A = 35° + 45° = 80°.
Most Upvoted Answer
A, B, C are the three angles of a Δ. If A − B = 15° an...
Since A, B and C are the angles of a Δ,
∴ A + B + C = 180° .................... (1)
According to question,
A – B = 15° ;
⇒ A = B + 15°...................(2)
B – C = 30°;
⇒ B = C + 30°;....................(3)
Put the value of B from equation (2) in Equation (1), we will get
∴ A = B + 15°
A = C + 30° + 15°
A = C + 45° ......................(4)
From a equation,
∴ A + B + C = 180°
⇒ (C + 45°) + (C + 30°) + C = 180°
⇒ 3C + 45° + 30° = 180°
⇒ 3C = 180° – 75° = 105°
⇒ C = 35° ...........................(5)
From equation (4)
A = C + 45°
Put the value of C from equation (5) , we will get
∴ ∠A = 35° + 45° = 80°.
∴ A + B + C = 180° .................... (1)
According to question,
A – B = 15° ;
⇒ A = B + 15°...................(2)
B – C = 30°;
⇒ B = C + 30°;....................(3)
Put the value of B from equation (2) in Equation (1), we will get
∴ A = B + 15°
A = C + 30° + 15°
A = C + 45° ......................(4)
From a equation,
∴ A + B + C = 180°
⇒ (C + 45°) + (C + 30°) + C = 180°
⇒ 3C + 45° + 30° = 180°
⇒ 3C = 180° – 75° = 105°
⇒ C = 35° ...........................(5)
From equation (4)
A = C + 45°
Put the value of C from equation (5) , we will get
∴ ∠A = 35° + 45° = 80°.
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Community Answer
A, B, C are the three angles of a Δ. If A − B = 15° an...
Given information:
- A - B = 15°
- B - C = 30°
Calculating the value of angles:
- Since the sum of angles in a triangle is 180°, we can find the value of angle A by adding all three angles and setting it equal to 180°.
- A + B + C = 180°
Substitute the given values:
- A + B + C = 180°
- A + (A - 15°) + (A - 15° - 30°) = 180°
- 3A - 45° = 180°
- 3A = 225°
- A = 75°
Therefore, the value of angle ∠A is 75°. Hence, the correct answer is option 'B' (75°).
- A - B = 15°
- B - C = 30°
Calculating the value of angles:
- Since the sum of angles in a triangle is 180°, we can find the value of angle A by adding all three angles and setting it equal to 180°.
- A + B + C = 180°
Substitute the given values:
- A + B + C = 180°
- A + (A - 15°) + (A - 15° - 30°) = 180°
- 3A - 45° = 180°
- 3A = 225°
- A = 75°
Therefore, the value of angle ∠A is 75°. Hence, the correct answer is option 'B' (75°).
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A, B, C are the three angles of a Δ. If A − B = 15° and B − C = 30°. Then ∠A is equal to :a)65°b)80°c)75°d)85°Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A, B, C are the three angles of a Δ. If A − B = 15° and B − C = 30°. Then ∠A is equal to :a)65°b)80°c)75°d)85°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C are the three angles of a Δ. If A − B = 15° and B − C = 30°. Then ∠A is equal to :a)65°b)80°c)75°d)85°Correct answer is option 'B'. Can you explain this answer?.
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