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Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.?
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Two adjacent angles on a straight line are in the ratio 5:4 . Find the...
ANSWER
Let us take the value required angle as x
so, the values of given angles will be:
Value of first angle = 5x
Value of second angle = 4x
5x+4x=108* (supplementary angles / given)
9x=108*
therefore , x=108*/9 =20*
x=20
thus, 5x = 5(20) = 100*
4x = 4(20) = 80*
so, required 2 angles are : 1st angle = 100*
and 2nd angle = 80*
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Two adjacent angles on a straight line are in the ratio 5:4 . Find the...
Problem: Two adjacent angles on a straight line are in the ratio 5:4. Find the measure of each one of these angles.
Solution:
Let the two adjacent angles be x and y such that x:y = 5:4.
We know that the sum of adjacent angles on a straight line is 180 degrees.
Therefore, x + y = 180
We can use the ratio x:y = 5:4 to substitute y in terms of x.
y = (4/5)x
Substituting y in the equation x + y = 180, we get:
x + (4/5)x = 180
Simplifying the above equation, we get:
(9/5)x = 180
x = (180*5)/9
x = 100
Therefore, the measure of x is 100 degrees.
Substituting the value of x in the equation y = (4/5)x, we get:
y = (4/5)*100
y = 80
Therefore, the measure of y is 80 degrees.
Answer: The measure of each angle is x = 100 degrees and y = 80 degrees.
Solution:
Let the two adjacent angles be x and y such that x:y = 5:4.
We know that the sum of adjacent angles on a straight line is 180 degrees.
Therefore, x + y = 180
We can use the ratio x:y = 5:4 to substitute y in terms of x.
y = (4/5)x
Substituting y in the equation x + y = 180, we get:
x + (4/5)x = 180
Simplifying the above equation, we get:
(9/5)x = 180
x = (180*5)/9
x = 100
Therefore, the measure of x is 100 degrees.
Substituting the value of x in the equation y = (4/5)x, we get:
y = (4/5)*100
y = 80
Therefore, the measure of y is 80 degrees.
Answer: The measure of each angle is x = 100 degrees and y = 80 degrees.
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Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.?
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Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.? 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 Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.?.
Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.? 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 Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angles.?.
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