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In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x 2y ) and angle 6= ( 3y 10 degree ) the measure of angle 5 is?
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In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x...
Solution:

Given,
- AB ll CD
- Angle 2 = 2x + 30°
- Angle 4 = x + 2y
- Angle 6 = 3y + 10°

We need to find the measure of Angle 5.

Alternate Interior Angles
Since AB ll CD, angle 2 and 4 are alternate interior angles, so they are equal.

2x + 30° = x + 2y

Simplifying the above equation, we get

x = 2y - 30°

Corresponding Angles
Angle 6 and 5 are corresponding angles.

So, angle 5 = angle 6 = 3y + 10°

Substituting the value of x from equation (1) in equation (2), we get

Angle 5 = 3(2y - 30°) + 10°

Simplifying the above equation, we get

Angle 5 = 6y - 80°

Hence, the measure of angle 5 is 6y - 80°.
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In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x 2y ) and angle 6= ( 3y 10 degree ) the measure of angle 5 is?
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In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x 2y ) and angle 6= ( 3y 10 degree ) the measure of angle 5 is? 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 In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x 2y ) and angle 6= ( 3y 10 degree ) the measure of angle 5 is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure, AB ll CD. If angle 2 = (2x 30 degree) , angle 4 = ( x 2y ) and angle 6= ( 3y 10 degree ) the measure of angle 5 is?.
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