Question

Find the values ofx and y in the following figures.
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Answer 1

Answer:

in the triangle both opposite sides are equal so y=50

and x= 100

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Answer 2

Answer:

It is given that the two sides are equal. [ The two '=' symbols on the line represents that the lines are equal. ]

Hence we can say that equal lines subtend equal angles at the opposite sides.  Therefore y and 50° are equal.

⇒ y = 50°

Now x is an exterior angle. According to a theorem, the exterior angle is the sum of opposite interior angles. Therefore we can say that,

⇒ x = y + 50

⇒ x = 50 + 50

⇒ x = 100°

Hence the value of x is 100° and that of y is 50°.

Hope it helped !!