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The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will be
- a)115°, 79°, 118°, 48°
- b)100° 79°, 118°, 63°
- c)110°, 84°, 106°, 60°
- d)75°, 89°, 128°, 68°
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x ...
Given information:
Angles of a quadrilateral are (5x), (3x - 10), (6x + 20), and (x + 25).
To find:
The measure of each angle of the quadrilateral.
Solution:
The sum of the angles of a quadrilateral is 360°. So, we can write the equation as:
5x + 3x - 10 + 6x + 20 + x + 25 = 360
Simplifying the equation, we get:
15x + 35 = 360
15x = 360 - 35
15x = 325
x = 21.67
Now, we can find the measure of each angle by substituting the value of x in the given expressions:
Angle 1 = 5x = 5(21.67) = 108.33°
Angle 2 = 3x - 10 = 3(21.67) - 10 = 56.01°
Angle 3 = 6x + 20 = 6(21.67) + 20 = 172.02°
Angle 4 = x + 25 = 21.67 + 25 = 46.67°
Therefore, the measure of each angle of the quadrilateral is 108.33°, 56.01°, 172.02°, and 46.67°.
Answer: (a) 115, 79, 118, 48.
Angles of a quadrilateral are (5x), (3x - 10), (6x + 20), and (x + 25).
To find:
The measure of each angle of the quadrilateral.
Solution:
The sum of the angles of a quadrilateral is 360°. So, we can write the equation as:
5x + 3x - 10 + 6x + 20 + x + 25 = 360
Simplifying the equation, we get:
15x + 35 = 360
15x = 360 - 35
15x = 325
x = 21.67
Now, we can find the measure of each angle by substituting the value of x in the given expressions:
Angle 1 = 5x = 5(21.67) = 108.33°
Angle 2 = 3x - 10 = 3(21.67) - 10 = 56.01°
Angle 3 = 6x + 20 = 6(21.67) + 20 = 172.02°
Angle 4 = x + 25 = 21.67 + 25 = 46.67°
Therefore, the measure of each angle of the quadrilateral is 108.33°, 56.01°, 172.02°, and 46.67°.
Answer: (a) 115, 79, 118, 48.
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Community Answer
The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x ...
Sum of all angle of quadrilateral=360dgree
5x+3x+10+6x-20+x+25=360
=15x+15=360
=15x=360-15
=15x=345
=x=23
First angle=5x=5×23=115
Second angle=3x+10=3×23+10=79
Third angle=6x-20=6×23-20=118
Fourth angle=x+25=23+25=48.(Ans).
5x+3x+10+6x-20+x+25=360
=15x+15=360
=15x=360-15
=15x=345
=x=23
First angle=5x=5×23=115
Second angle=3x+10=3×23+10=79
Third angle=6x-20=6×23-20=118
Fourth angle=x+25=23+25=48.(Ans).
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The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will bea)115°, 79°, 118°, 48°b)100° 79°, 118°, 63°c)110°, 84°, 106°, 60°d)75°, 89°, 128°, 68°Correct answer is option 'A'. Can you explain this answer?
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The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will bea)115°, 79°, 118°, 48°b)100° 79°, 118°, 63°c)110°, 84°, 106°, 60°d)75°, 89°, 128°, 68°Correct answer is option 'A'. Can you explain this answer? 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 The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will bea)115°, 79°, 118°, 48°b)100° 79°, 118°, 63°c)110°, 84°, 106°, 60°d)75°, 89°, 128°, 68°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will bea)115°, 79°, 118°, 48°b)100° 79°, 118°, 63°c)110°, 84°, 106°, 60°d)75°, 89°, 128°, 68°Correct answer is option 'A'. Can you explain this answer?.
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