two parallel lines AB and CD are cut by a transversal EF. if the if the interior angles of the same side of EF be (4x + 27°) and (7x - 12°) find the measure of each of the angles
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Hello !
Refer to the attachment. for the diagram.
Property to be used:-
The sum of interior angles is 180⁰
Solution:-
4x+27⁰+(7x-12)⁰ = 180⁰
4x+27⁰+7x-12⁰=180⁰
11x+15 = 180⁰
11x = 165⁰
x =
x = 15⁰
Now let's find the value of both the angles.
4x+27 = 4(15)+27 = 87⁰
7x-12 = 7(15)-12 = 93⁰
Verification:-
to check whether our answer is right or not, we can use this interior angle property as :-
87⁰+93⁰ = 180⁰
Hope that helps !
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