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Please help me to answer these by stating the method u used

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  • Find the unknown angles from the FIGURE.

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Before we start, please check out the attachment. Calculation part is done here.

  • For question 1.

Construction:- Join EC to X on line AB such that EX is a line.

So, we get,

\angle EXB=100\degree (Since, line CD and AB are parallel)

Now,

\angle EXA=180\degree-100\degree=80\degree.

By angle sum PROPERTY,we get,

x + 50 \degree + 80 \degree = 180 \degree

After calculation, we get,

x = 50 \degree

50\degreeThe value of x is .

  • For question 2.

Construction:- Join C to X on line AB such that EX is a straight line.

So,

\angle CXB=105\degree+15\degree=120\degree (Since, exterior angle is equal to the sum of opposite interior angles).

Now, Corresponding angles are equal, so,

x=\angle CXB=120\degree

The value of x is 120\degree.



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