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The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is?
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The sum of angles of a triangle is 180 degree if three angles are 2x +...
Given information:
- Sum of angles of a triangle = 180 degrees
- Three angles of the triangle are 2x + 15 degrees, 85 degrees, and x + 20 degrees
Steps to find the measure of x:
Step 1: Write the equation for the sum of angles of a triangle:
- According to the given information, the sum of angles of a triangle is 180 degrees.
- Therefore, the equation can be written as:
(2x + 15) + 85 + (x + 20) = 180
Step 2: Solve the equation for x:
- Simplifying the equation:
2x + 15 + 85 + x + 20 = 180
3x + 120 = 180
3x = 60
x = 20
Step 3: Verify the solution:
- Substituting the value of x back into the angles:
Angle 1: 2(20) + 15 = 40 + 15 = 55 degrees
Angle 2: 85 degrees
Angle 3: 20 + 20 = 40 degrees
- Sum of the angles: 55 + 85 + 40 = 180 degrees
Conclusion:
- Therefore, the measure of x is 20 degrees, and the angles of the triangle are 55 degrees, 85 degrees, and 40 degrees, which add up to 180 degrees.
- Sum of angles of a triangle = 180 degrees
- Three angles of the triangle are 2x + 15 degrees, 85 degrees, and x + 20 degrees
Steps to find the measure of x:
Step 1: Write the equation for the sum of angles of a triangle:
- According to the given information, the sum of angles of a triangle is 180 degrees.
- Therefore, the equation can be written as:
(2x + 15) + 85 + (x + 20) = 180
Step 2: Solve the equation for x:
- Simplifying the equation:
2x + 15 + 85 + x + 20 = 180
3x + 120 = 180
3x = 60
x = 20
Step 3: Verify the solution:
- Substituting the value of x back into the angles:
Angle 1: 2(20) + 15 = 40 + 15 = 55 degrees
Angle 2: 85 degrees
Angle 3: 20 + 20 = 40 degrees
- Sum of the angles: 55 + 85 + 40 = 180 degrees
Conclusion:
- Therefore, the measure of x is 20 degrees, and the angles of the triangle are 55 degrees, 85 degrees, and 40 degrees, which add up to 180 degrees.
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The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is?
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The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is?.
The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of angles of a triangle is 180 degree if three angles are 2x + 15 degree 85 degree and X+20 degree then the measure of X is?.
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