Class 9 Exam > Class 9 Questions > In the adjoining fig, PQ = PR. If∠QPR = 4...
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In the adjoining fig, PQ = PR. If ∠QPR = 48∘, then value of x is:
- a)114∘
- b)96∘
- c)132∘
- d)104∘
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)1...
- In triangle PQR, PQ = PR , making it an isosceles triangle.
- In an isosceles triangle, the angles opposite the equal sides are equal.
- Given angle QPR = 48 degrees ,
let angle PQR = angle PRQ = y
- The sum of angles in a triangle is 180.
- Therefore, y + y + 48 = 180
- Solving: 2y = 132 degrees
therefore y = 66 degrees
angle y + angle x = 180 degrees
66 + angle x = 180 degree
angle x = 180-66
angle x = 132 degree
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In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)1...
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In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)1...
Helloo friends How are you all?
OK let's come to the topic.So guys before starting the question remember always one thing in your mind that "Concept is Power"
Let's start:-
* We have given that PQ = PR
and Angle QPR = 48degree.
Find x =?
Therefore Angle PQR = Angle PRQ (Angle opposite to equal sides of a triangle are equal)
Let angle PQR = Y = Angle PRQ
Hence Y + Y + 48 = 180 degree ( Angle sum property of a triangle)
2y = 180 - 48
2y = 132
y = 66
SO, Angle PRQ + x = 180 ( Linear Pair of angle )
66 + x = 180 degree
x = 180 - 66 = 114 degree
I hope you understand my answer.
byyeee
OK let's come to the topic.So guys before starting the question remember always one thing in your mind that "Concept is Power"
Let's start:-
* We have given that PQ = PR
and Angle QPR = 48degree.
Find x =?
Therefore Angle PQR = Angle PRQ (Angle opposite to equal sides of a triangle are equal)
Let angle PQR = Y = Angle PRQ
Hence Y + Y + 48 = 180 degree ( Angle sum property of a triangle)
2y = 180 - 48
2y = 132
y = 66
SO, Angle PRQ + x = 180 ( Linear Pair of angle )
66 + x = 180 degree
x = 180 - 66 = 114 degree
I hope you understand my answer.
byyeee
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In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. 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 In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. 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 In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. Can you explain this answer?.
In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. 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 In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. 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 In the adjoining fig, PQ = PR. If∠QPR = 48, then value of x is:a)114b)96c)132d)104Correct answer is option 'A'. Can you explain this answer?.
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