find the angles which are formed by two intersecting lines all 4 if a pair of vertically opposite angles add up to 236°
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Answer:
the 4 angles are 118°,62°,118°,62°
Step-by-step explanation:
given, 2 lines are intersecting such that one pair of vertically opposite angles sum up as 236°
we know, the vertically opposite angles will be equal
so, if taken , one of the angle= x
then given 2x = 236°
=> x = 236°/2
= 118°
the adjacent angle to 118° will be its supplement
=> the adjacent angle = 180° - 118°
= 62°
so, the vertically opposite angle to this 62° will also be equal to 62°
so, the 4 angles are 118°,62°,118°,62°
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