Question

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

Answer 1

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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,

$x = 50 \degree$

The value of x is $50\degree$.

• 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 $120\degree$.

Answer 2

Answer:

answer for the given problem is given

Step-by-step explanation:

Used Concepts:-

If two parallel lines intersected by a transversal then

1. Interior angles on the same side to the transversal are supplementary.
2. angles on the same line are supplementary.
3. Corresponding angles are equal.
4. the sum of two adjacent angles is 180°
5. Sum of all angles in a triangle is 180°