In the given figure, the value of x is

(a) 65°

(b) 80°

(c) 95°

(d) 120°

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Solution

In the given figure, we need to find the value of x

Here, according to the angle sum property of the triangle

In ΔABD

Also, ABC is a straight line. So, using the property, “angles forming a linear pair are supplementary”, we get,

Further, using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get

Thus,

Therefore, the correct option is (d).

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In the given figure, PQ ||ST. Then the value of x + y is

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