# 2.  Find angles x and y in each figure.

i) As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal. So,

Now,  As we know the sum of internal angles of a triangle is 180. so,

Hence, .

ii)  As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

AND

the sum of internal angles of a triangle is 180. so,

Also,

.

Hence .

iii) As we know when two lines are intersecting, the opposite angles are equal.

And

the sum of internal angles of a triangle is 180. so,

Now, As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

Hence .

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