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If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle?
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If the measure of the supplementary angle of an angle is 2/5 times of ...
Supplementary and Complementary Angles:
Supplementary angles are two angles whose measures add up to 180 degrees. Complementary angles are two angles whose measures add up to 90 degrees.
Let's assume the measure of the angle:
Let the angle be x degrees.
Finding the complementary angle:
The complementary angle of x degrees is (90 - x) degrees.
Finding the supplementary angle:
The supplementary angle of x degrees is (180 - x) degrees.
Given Information:
According to the given information, the measure of the supplementary angle is 2/5 times the measure of its complementary angle.
Therefore, (180 - x) = (2/5)(90 - x).
Solving the equation:
To solve the equation, we can multiply both sides of the equation by 5 to eliminate the fraction:
5(180 - x) = 2(90 - x).
Simplifying the equation further:
900 - 5x = 180 - 2x.
Now, let's isolate the variable x by moving all the terms containing x to one side of the equation:
-5x + 2x = 180 - 900.
Combining like terms:
-3x = -720.
Next, divide both sides of the equation by -3:
x = -720 / -3.
Simplifying the equation:
x = 240.
Conclusion:
The measure of the angle is 240 degrees.
Supplementary angles are two angles whose measures add up to 180 degrees. Complementary angles are two angles whose measures add up to 90 degrees.
Let's assume the measure of the angle:
Let the angle be x degrees.
Finding the complementary angle:
The complementary angle of x degrees is (90 - x) degrees.
Finding the supplementary angle:
The supplementary angle of x degrees is (180 - x) degrees.
Given Information:
According to the given information, the measure of the supplementary angle is 2/5 times the measure of its complementary angle.
Therefore, (180 - x) = (2/5)(90 - x).
Solving the equation:
To solve the equation, we can multiply both sides of the equation by 5 to eliminate the fraction:
5(180 - x) = 2(90 - x).
Simplifying the equation further:
900 - 5x = 180 - 2x.
Now, let's isolate the variable x by moving all the terms containing x to one side of the equation:
-5x + 2x = 180 - 900.
Combining like terms:
-3x = -720.
Next, divide both sides of the equation by -3:
x = -720 / -3.
Simplifying the equation:
x = 240.
Conclusion:
The measure of the angle is 240 degrees.
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If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle?
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If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle?.
If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measure of the supplementary angle of an angle is 2/5 times of its complementary angle, what is the measure of the angle?.
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