Question

two lines AB and CD intersect each other at point O such that angle AOC :angle AOD equals to 5:7 find all angles​

Answer 1

Answer:

angle AOC = angle BOD =75

angle BOC = angle AOD = 105

Step-by-step explanation:

measure of angle is x

angle AOC = 5x

angle AOD = 7x

hence ,

ang AOC + ang AOD = 180......linear pair

5x + 7x = 180

12x = 180

x = 180 / 12

x = 15

hence ,

angle AOC = angle BOD ..........opposite angles

angle AOC = angle BOD = 5x = 5 × 15

= 75

similarly ,

angle BOC = angle AOD .....opposite angles

angle BOC = angle AOD = 7x = 7 × 15

= 105

Answer 2

Answer

Step-by-step explanation:

measure of angle is x

angle AOC = 5x

angle AOD = 7x

hence ,

ang AOC + ang AOD = 180......linear pair

5x + 7x = 180

12x = 180

x = 180 / 12

x = 15

hence ,

angle AOC = angle BOD ..........opposite angles

angle AOC = angle BOD = 5x = 5 × 15

= 75

similarly ,

angle BOC = angle AOD .....opposite angles

angle BOC = angle AOD = 7x = 7 × 15

= 105

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