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AN is the bisector of ∠A and AM ⊥ BC. Then a measure of ∠MAN is:
- a)35°
- b)30°
- c)20°
- d)25°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠M...
Here ∠BAC = 180° -(75° +35°) = 70°
(∵ AN is the angle bisector of ∠A)
Now, in DANC,
∠ANC + ∠CAN + ∠NAC = 180°
⇒ ∠ANC +35° + 35° = 180°
⇒ ∠ANC = 110°
∵ ∠ANC is an exterior angle for ΔAMN
∵ ∠ANC + ∠MAN = 110°
⇒ ∠MAN = 110°- ∠AMN
= 110° - 90° = 20°
(∵ AN is the angle bisector of ∠A)
Now, in DANC,
∠ANC + ∠CAN + ∠NAC = 180°
⇒ ∠ANC +35° + 35° = 180°
⇒ ∠ANC = 110°
∵ ∠ANC is an exterior angle for ΔAMN
∵ ∠ANC + ∠MAN = 110°
⇒ ∠MAN = 110°- ∠AMN
= 110° - 90° = 20°
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AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer?.
AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AN is the bisector of ∠A and AM ⊥BC. Then a measure of ∠MAN is:a)35°b)30°c)20°d)25°Correct answer is option 'C'. Can you explain this answer?.
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