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Find angle x in below figure
- a)30°
- b)180°
- c)40°
- d)90°
Correct answer is option 'C'. Can you explain this answer?
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Find angle x in below figurea)30°b)180°c)40°d)90°Corre...
Let the measures of the angles be 1x,2x and 7x. We have, 1x+2x+7x=180o⇒ x=18o The angles are 18o,36o and 126o.
∴ The triangle is obtuse angled.
∴ The triangle is obtuse angled.
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Understanding the Triangle's Angles
To determine the type of triangle based on the angle ratio of 1:2:7, we first need to find the actual angles.
Step 1: Calculate the Angles
- Let the angles be represented as x, 2x, and 7x.
- The sum of the angles in a triangle is always 180 degrees.
Thus, we have the equation:
- x + 2x + 7x = 180
This simplifies to:
- 10x = 180
Now, solving for x:
- x = 18 degrees
Using this value, we can calculate the angles:
- First angle: x = 18 degrees
- Second angle: 2x = 36 degrees
- Third angle: 7x = 126 degrees
Step 2: Identify the Type of Triangle
Now that we have the angles:
- 18 degrees
- 36 degrees
- 126 degrees
Key Points:
- Acute Angled Triangle: All angles are less than 90 degrees.
- Obtuse Angled Triangle: One angle is greater than 90 degrees.
- Right Angled Triangle: One angle is exactly 90 degrees.
- Right Angled Isosceles Triangle: Two angles are equal and one is 90 degrees.
Conclusion
Since one of the angles (126 degrees) is greater than 90 degrees, this triangle is classified as an Obtuse Angled Triangle. Hence, the correct answer is option 'B'.
To determine the type of triangle based on the angle ratio of 1:2:7, we first need to find the actual angles.
Step 1: Calculate the Angles
- Let the angles be represented as x, 2x, and 7x.
- The sum of the angles in a triangle is always 180 degrees.
Thus, we have the equation:
- x + 2x + 7x = 180
This simplifies to:
- 10x = 180
Now, solving for x:
- x = 18 degrees
Using this value, we can calculate the angles:
- First angle: x = 18 degrees
- Second angle: 2x = 36 degrees
- Third angle: 7x = 126 degrees
Step 2: Identify the Type of Triangle
Now that we have the angles:
- 18 degrees
- 36 degrees
- 126 degrees
Key Points:
- Acute Angled Triangle: All angles are less than 90 degrees.
- Obtuse Angled Triangle: One angle is greater than 90 degrees.
- Right Angled Triangle: One angle is exactly 90 degrees.
- Right Angled Isosceles Triangle: Two angles are equal and one is 90 degrees.
Conclusion
Since one of the angles (126 degrees) is greater than 90 degrees, this triangle is classified as an Obtuse Angled Triangle. Hence, the correct answer is option 'B'.
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Find angle x in below figurea)30°b)180°c)40°d)90°Correct answer is option 'C'. Can you explain this answer? for Class 7 2026 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find angle x in below figurea)30°b)180°c)40°d)90°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find angle x in below figurea)30°b)180°c)40°d)90°Correct answer is option 'C'. Can you explain this answer?.
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