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In the figure,AB ll CD. If angle C =50 degree, find all the other angles?
Most Upvoted Answer
In the figure,AB ll CD. If angle C =50 degree, find all the other angl...
Given Information:
- AB ll CD
- Angle C = 50 degrees
Calculation:
1. Corresponding Angles:
- Since AB ll CD, angle C is equal to the corresponding angle of angle A.
- Therefore, angle A = 50 degrees
2. Interior Angles on the same side of the transversal:
- Angle A and angle D are interior angles on the same side of the transversal.
- The sum of these angles is 180 degrees.
- Therefore, angle D = 180 - angle A
- angle D = 180 - 50 = 130 degrees
3. Vertical Angles:
- Angle B is a vertical angle to angle A.
- Vertical angles are equal.
- Therefore, angle B = angle A
- angle B = 50 degrees
4. Supplementary Angles:
- Angle B and angle C are supplementary angles as they form a straight line.
- The sum of supplementary angles is 180 degrees.
- Therefore, angle B = 180 - angle C
- angle B = 180 - 50 = 130 degrees
Summary:
- Angle A = 50 degrees
- Angle B = 50 degrees
- Angle C = 50 degrees
- Angle D = 130 degrees
- AB ll CD
- Angle C = 50 degrees
Calculation:
1. Corresponding Angles:
- Since AB ll CD, angle C is equal to the corresponding angle of angle A.
- Therefore, angle A = 50 degrees
2. Interior Angles on the same side of the transversal:
- Angle A and angle D are interior angles on the same side of the transversal.
- The sum of these angles is 180 degrees.
- Therefore, angle D = 180 - angle A
- angle D = 180 - 50 = 130 degrees
3. Vertical Angles:
- Angle B is a vertical angle to angle A.
- Vertical angles are equal.
- Therefore, angle B = angle A
- angle B = 50 degrees
4. Supplementary Angles:
- Angle B and angle C are supplementary angles as they form a straight line.
- The sum of supplementary angles is 180 degrees.
- Therefore, angle B = 180 - angle C
- angle B = 180 - 50 = 130 degrees
Summary:
- Angle A = 50 degrees
- Angle B = 50 degrees
- Angle C = 50 degrees
- Angle D = 130 degrees
Community Answer
In the figure,AB ll CD. If angle C =50 degree, find all the other angl...
In the figure ,AB||CD.If angle C=50 degree find all the other angle?
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In the figure,AB ll CD. If angle C =50 degree, find all the other angles?
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In the figure,AB ll CD. If angle C =50 degree, find all the other angles? 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 In the figure,AB ll CD. If angle C =50 degree, find all the other angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure,AB ll CD. If angle C =50 degree, find all the other angles?.
In the figure,AB ll CD. If angle C =50 degree, find all the other angles? 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 In the figure,AB ll CD. If angle C =50 degree, find all the other angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure,AB ll CD. If angle C =50 degree, find all the other angles?.
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