Q. 1284.8( 5 Votes )

In ∆ABC, DE || BC (Fig. 6.39). Find the values of x, y and z.


Answer :

Given: DE || BC; B = 30° ; C = 40°


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


if 2 lines are parallel then their corresponding angles will be equal


As DE || BC


And AB is transverse


x = 30° Corresponding angles


As DE || BC


And AC is transverse


y = 40° Corresponding angles


By angle sum property in Δ ADE


x + y + z = 180°


30° + 40° + z = 180°


z = 180° -70°


z = 110°


Result:- The value of x;y;z is 30°;40°;110° respectively


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