The sum of two angles formed by the intersection of two lines is 114°. What are the measures of all (4) angles?

1 Answer
sankarankalyanam
Oct 24, 2017

Two angles will have #114^0# each (vertically opposite angles) and remaining pair will have #66^0 #each.
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Explanation:

Given : one angle #114^0#.
It’s adjacent angle will have #66^0 #as adjacent sides add together to #180^0 #( supplementary angles).
The remaining pair of angles will also be #114^0 and 66^0 as they are vertically opposite.

Two angles will have #114^0# each (vertically opposite angles) and remaining pair will have #66^0 #each.

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