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The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle
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The angles of a triangle are in the ratio 2:3:4 find the measure of ea...
Introduction:
The angles of a triangle always add up to 180 degrees. In this problem, we are given that the angles of a triangle are in the ratio 2:3:4. We need to find the measure of each angle of the triangle.
Step 1: Identify the given ratio:
Let's assume that the angles of the triangle are 2x, 3x, and 4x, where x is a constant. This means that the three angles are in the ratio 2:3:4.
Step 2: Use the ratio to find the value of x:
Since the sum of the angles of a triangle is 180 degrees, we can write the equation:
2x + 3x + 4x = 180
9x = 180
x = 20
Step 3: Find the measure of each angle:
Now that we have the value of x, we can substitute it back into the equation to find the measure of each angle:
Angle 1: 2x = 2 * 20 = 40 degrees
Angle 2: 3x = 3 * 20 = 60 degrees
Angle 3: 4x = 4 * 20 = 80 degrees
Conclusion:
Therefore, the measures of the angles of the triangle are 40 degrees, 60 degrees, and 80 degrees.
The angles of a triangle always add up to 180 degrees. In this problem, we are given that the angles of a triangle are in the ratio 2:3:4. We need to find the measure of each angle of the triangle.
Step 1: Identify the given ratio:
Let's assume that the angles of the triangle are 2x, 3x, and 4x, where x is a constant. This means that the three angles are in the ratio 2:3:4.
Step 2: Use the ratio to find the value of x:
Since the sum of the angles of a triangle is 180 degrees, we can write the equation:
2x + 3x + 4x = 180
9x = 180
x = 20
Step 3: Find the measure of each angle:
Now that we have the value of x, we can substitute it back into the equation to find the measure of each angle:
Angle 1: 2x = 2 * 20 = 40 degrees
Angle 2: 3x = 3 * 20 = 60 degrees
Angle 3: 4x = 4 * 20 = 80 degrees
Conclusion:
Therefore, the measures of the angles of the triangle are 40 degrees, 60 degrees, and 80 degrees.
Community Answer
The angles of a triangle are in the ratio 2:3:4 find the measure of ea...
Let's side a=2x b=3x,and c=4xNow Side a+side b +side c =180 (by angle sum property of a triangle) 2x+3x+4x=180 9x=180 x=180\9 x=20 Side a = 2x =2×20=40 Side b = 3x =3×20=60 Side c = 4x =4×20=80I hope its helps you.
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The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle
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The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of 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 The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle.
The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of 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 The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of a triangle are in the ratio 2:3:4 find the measure of each angle of triangle.
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