Question

AB and CD intersect each other at point 0.Measure of one angle is 56°, then find measure of other three angles.

Answer 1

2nd angle= 56° vertically opposite angles

3rd angle= 180-56°=124°

4th angle= 124° verically opposite to 3rd angle

Answer 2

AB is CD is intersecting each other

at point ' O '

i ) <COB = <AOD = 56°

[ Vertically opposite angles ]

ii ) <COA + <AOD = 180°

[ Linear pair ]

=> <COA = 180° - <AOD

=> <COA = 180° - 56°

= 124°

Now ,

<BOD = <COA = 124°

[ vertically opposite angles ]

Therefore ,

<COB = 56° ,

<COA = <BOD = 124°

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