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The difference in the measures of two complementary angles is 12. Find the measures of the angles?
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The difference in the measures of two complementary angles is 12. Find...
Problem: The difference in the measures of two complementary angles is 12. Find the measures of the angles?
Solution:
Let's start by defining complementary angles.
Complementary Angles: Two angles are complementary if the sum of their measures is 90 degrees.
Let's assume that the measures of the two complementary angles are x and y.
From the problem statement, we know that:
x + y = 90 (since they are complementary angles)
We also know that the difference in the measures of the two angles is 12, which means:
x - y = 12
We can now solve these two equations simultaneously to find the measures of the angles.
Solving the equations:
x + y = 90
x - y = 12
Adding the two equations, we get:
2x = 102
x = 51
Substituting x = 51 in the first equation, we get:
51 + y = 90
y = 39
Therefore, the measures of the two complementary angles are 51 degrees and 39 degrees.
Answer: The measures of the two complementary angles are 51 degrees and 39 degrees.
Solution:
Let's start by defining complementary angles.
Complementary Angles: Two angles are complementary if the sum of their measures is 90 degrees.
Let's assume that the measures of the two complementary angles are x and y.
From the problem statement, we know that:
x + y = 90 (since they are complementary angles)
We also know that the difference in the measures of the two angles is 12, which means:
x - y = 12
We can now solve these two equations simultaneously to find the measures of the angles.
Solving the equations:
x + y = 90
x - y = 12
Adding the two equations, we get:
2x = 102
x = 51
Substituting x = 51 in the first equation, we get:
51 + y = 90
y = 39
Therefore, the measures of the two complementary angles are 51 degrees and 39 degrees.
Answer: The measures of the two complementary angles are 51 degrees and 39 degrees.
Community Answer
The difference in the measures of two complementary angles is 12. Find...
Let the two angles be x and y
Given, x-y=12
We know that the sum of complementary angles is 90
Therefore, x+y=90
so, x=90-y
Substitute x in x-y=12
Therefore, 90-y-y = 12
90-2y = 12
-2y = 12 - 90
-2y = -78
y = -78/-2
y = 39
Substitute y in x - y = 12
x - 39 = 12
x = 12+39
x = 51
Therefore, the two angles are 51 degree and 39 degree.
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The difference in the measures of two complementary angles is 12. Find the measures of the angles?
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The difference in the measures of two complementary angles is 12. Find the measures of the angles? 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 difference in the measures of two complementary angles is 12. Find the measures of the angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in the measures of two complementary angles is 12. Find the measures of the angles?.
The difference in the measures of two complementary angles is 12. Find the measures of the angles? 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 difference in the measures of two complementary angles is 12. Find the measures of the angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in the measures of two complementary angles is 12. Find the measures of the angles?.
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