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An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle
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An acute angle of an obtuse isosceles triangle measure 25degree .find ...
Explanation:
Given:
- An acute angle of an obtuse isosceles triangle measures 25 degrees.
Let's solve for the angles of the triangle:
Step 1: Identify the properties of an isosceles triangle:
- An isosceles triangle has two equal sides and two equal angles.
Step 2: Find the base angle of the triangle:
- Since the triangle is obtuse, the base angle will be greater than 90 degrees.
- Let the base angle be x degrees.
- Since the triangle is isosceles, the other base angle will also be x degrees.
Step 3: Use the properties of a triangle to find the base angle:
- The sum of all angles in a triangle is 180 degrees.
- In this case, the acute angle is 25 degrees, and the two base angles are x degrees each.
- Therefore, 25 + x + x = 180.
- Simplifying, we get 25 + 2x = 180.
- Solving for x, we get x = (180 - 25) / 2 = 77.5 degrees.
Step 4: Calculate the angles of the triangle:
- The acute angle is 25 degrees.
- The two base angles are x degrees each, which is 77.5 degrees.
- Therefore, the angles of the triangle are 25 degrees, 77.5 degrees, and 77.5 degrees.
Conclusion:
- The angles of the obtuse isosceles triangle are 25 degrees, 77.5 degrees, and 77.5 degrees.
Given:
- An acute angle of an obtuse isosceles triangle measures 25 degrees.
Let's solve for the angles of the triangle:
Step 1: Identify the properties of an isosceles triangle:
- An isosceles triangle has two equal sides and two equal angles.
Step 2: Find the base angle of the triangle:
- Since the triangle is obtuse, the base angle will be greater than 90 degrees.
- Let the base angle be x degrees.
- Since the triangle is isosceles, the other base angle will also be x degrees.
Step 3: Use the properties of a triangle to find the base angle:
- The sum of all angles in a triangle is 180 degrees.
- In this case, the acute angle is 25 degrees, and the two base angles are x degrees each.
- Therefore, 25 + x + x = 180.
- Simplifying, we get 25 + 2x = 180.
- Solving for x, we get x = (180 - 25) / 2 = 77.5 degrees.
Step 4: Calculate the angles of the triangle:
- The acute angle is 25 degrees.
- The two base angles are x degrees each, which is 77.5 degrees.
- Therefore, the angles of the triangle are 25 degrees, 77.5 degrees, and 77.5 degrees.
Conclusion:
- The angles of the obtuse isosceles triangle are 25 degrees, 77.5 degrees, and 77.5 degrees.
Community Answer
An acute angle of an obtuse isosceles triangle measure 25degree .find ...
25degree,25degree,130degree
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An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle
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An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle.
An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An acute angle of an obtuse isosceles triangle measure 25degree .find the angles of the triangle.
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