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The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle
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The measures of two adjacent angles of a quadrilateral are 1100 and 50...
Let measure of each angle of a quadrilateral be x.
Measure of two adjacent angles of a quadrilateral are 110degree and 50degree.
But sum of the angles of quadrilateral is 360degree.
x + x + 110degree + 50degree = 360degree
2x + 160degree = 360degree
2x = 200degree
∴ x = 100degree.
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Most Upvoted Answer
The measures of two adjacent angles of a quadrilateral are 1100 and 50...
Given information:
- Two adjacent angles of a quadrilateral are 1100 and 500.
- The other two acute angles are equal.
To find:
- The measures of each angle in the quadrilateral.
Solution:
Let's assume the measures of the acute angles as 'x'.
Step 1: Identify the angles:
In a quadrilateral, the sum of all angles is 360 degrees. So, we can write the equation as:
1100 + 500 + x + x = 360
Step 2: Simplify the equation:
Combine like terms:
1600 + 2x = 360
Step 3: Solve for x:
Subtract 1600 from both sides:
2x = 360 - 1600
2x = -1240
Divide both sides by 2:
x = -620
Step 4: Check for validity:
Since angles cannot have negative measures, we can conclude that the value of x is not valid. Therefore, there is no solution to this problem.
Conclusion:
There is no solution to this problem as the value of x turns out to be negative. The given set of angles does not form a valid quadrilateral.
- Two adjacent angles of a quadrilateral are 1100 and 500.
- The other two acute angles are equal.
To find:
- The measures of each angle in the quadrilateral.
Solution:
Let's assume the measures of the acute angles as 'x'.
Step 1: Identify the angles:
In a quadrilateral, the sum of all angles is 360 degrees. So, we can write the equation as:
1100 + 500 + x + x = 360
Step 2: Simplify the equation:
Combine like terms:
1600 + 2x = 360
Step 3: Solve for x:
Subtract 1600 from both sides:
2x = 360 - 1600
2x = -1240
Divide both sides by 2:
x = -620
Step 4: Check for validity:
Since angles cannot have negative measures, we can conclude that the value of x is not valid. Therefore, there is no solution to this problem.
Conclusion:
There is no solution to this problem as the value of x turns out to be negative. The given set of angles does not form a valid quadrilateral.
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The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle
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The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle.
The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The measures of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measures of each angle.
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