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If an angle is 28degree less than its complement , find its measure .?
Verified Answer
If an angle is 28degree less than its complement , find its measure .?
Assume the angle that you want to find out = x
Then its complement = 90 deg - x
Therefore, from the given statement, x = 90 deg - x - 28
This in turn implies that 2x = 90 - 28 = 62
Thus, the desired angle x = 31 degree
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If an angle is 28degree less than its complement , find its measure .?
Given Information:
An angle is 28 degrees less than its complement.
Let's solve the problem step by step:
Step 1: Understand the concept of complementary angles
Complementary angles are two angles whose measures add up to 90 degrees. In other words, the sum of a given angle and its complement is always 90 degrees.
Step 2: Set up the equation
Let x be the measure of the angle. Since the angle is 28 degrees less than its complement, the complement of the angle will be x + 28. According to the definition of complementary angles, we can set up the equation as follows:
x + (x + 28) = 90
Step 3: Solve the equation
Combine like terms:
2x + 28 = 90
Subtract 28 from both sides:
2x = 62
Divide by 2:
x = 31
Step 4: Check the answer
To verify our answer, we can substitute x = 31 back into the equation:
31 + (31 + 28) = 90
31 + 59 = 90
90 = 90
Conclusion:
Therefore, the measure of the angle is 31 degrees.
An angle is 28 degrees less than its complement.
Let's solve the problem step by step:
Step 1: Understand the concept of complementary angles
Complementary angles are two angles whose measures add up to 90 degrees. In other words, the sum of a given angle and its complement is always 90 degrees.
Step 2: Set up the equation
Let x be the measure of the angle. Since the angle is 28 degrees less than its complement, the complement of the angle will be x + 28. According to the definition of complementary angles, we can set up the equation as follows:
x + (x + 28) = 90
Step 3: Solve the equation
Combine like terms:
2x + 28 = 90
Subtract 28 from both sides:
2x = 62
Divide by 2:
x = 31
Step 4: Check the answer
To verify our answer, we can substitute x = 31 back into the equation:
31 + (31 + 28) = 90
31 + 59 = 90
90 = 90
Conclusion:
Therefore, the measure of the angle is 31 degrees.
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If an angle is 28degree less than its complement , find its measure .?
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If an angle is 28degree less than its complement , find its measure .? 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 If an angle is 28degree less than its complement , find its measure .? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an angle is 28degree less than its complement , find its measure .?.
If an angle is 28degree less than its complement , find its measure .? 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 If an angle is 28degree less than its complement , find its measure .? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an angle is 28degree less than its complement , find its measure .?.
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