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Two supplementary angles differ by 20°. What is the measure of smaller angle?
- a)30
- b)40
- c)80
- d)100
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two supplementary angles differ by 20°. What is the measure of sma...
Let the smaller angle be x.
∴ Other angle = x + 20°
Now x + x + 20° = 180°
⇒ 2x = 160°
⇒ x = 80°
∴ Other angle = x + 20°
Now x + x + 20° = 180°
⇒ 2x = 160°
⇒ x = 80°
Most Upvoted Answer
Two supplementary angles differ by 20°. What is the measure of sma...
Suppose the two supplementary angles are x and y. We know that the sum of two supplementary angles is 180 degrees, so we can write the equation:
x + y = 180
We are also given that the two angles differ by 20 degrees, so we can write another equation:
x - y = 20
Now we have a system of two equations with two variables. We can solve this system by elimination or substitution.
Using elimination, we can add the two equations together:
(x + y) + (x - y) = 180 + 20
2x = 200
x = 100
Now we can substitute this value of x into one of the equations to find y:
100 + y = 180
y = 80
Therefore, the two supplementary angles are 100 degrees and 80 degrees.
x + y = 180
We are also given that the two angles differ by 20 degrees, so we can write another equation:
x - y = 20
Now we have a system of two equations with two variables. We can solve this system by elimination or substitution.
Using elimination, we can add the two equations together:
(x + y) + (x - y) = 180 + 20
2x = 200
x = 100
Now we can substitute this value of x into one of the equations to find y:
100 + y = 180
y = 80
Therefore, the two supplementary angles are 100 degrees and 80 degrees.
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Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer?
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Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer? 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 Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer?.
Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer? 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 Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two supplementary angles differ by 20°. What is the measure of smaller angle?a)30b)40c)80d)100Correct answer is option 'C'. Can you explain this answer?.
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