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The difference in the measure of two complimentary anges is 12°. Find the measures of the angles?
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The difference in the measure of two complimentary anges is 12°. Find ...
Given information:
- The two angles are complementary.
- The difference in the measure of the two angles is 12°.
Let's solve the problem step by step:
Step 1: Identify the relationship between complementary angles
- Complementary angles add up to 90°.
Step 2: Set up the equation
- Let one angle be x°.
- The other angle would be (90 - x)° since they are complementary.
- Given that the difference in the measures of the two angles is 12°, we can write the equation as:
x - (90 - x) = 12.
Step 3: Solve the equation
- x - 90 + x = 12.
- 2x - 90 = 12.
- 2x = 102.
- x = 51.
- The first angle is 51°.
- The second angle is 90 - 51 = 39°.
Step 4: Verify the solution
- Check if the sum of the two angles equals 90°.
- 51 + 39 = 90.
- The solution is correct.
Conclusion:
- The measures of the two angles are 51° and 39°.
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The difference in the measure of two complimentary anges is 12°. Find the measures of the angles?
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The difference in the measure of two complimentary anges 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 measure of two complimentary anges 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 measure of two complimentary anges is 12°. Find the measures of the angles?.
The difference in the measure of two complimentary anges 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 measure of two complimentary anges 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 measure of two complimentary anges is 12°. Find the measures of the angles?.
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