Maths-
General
Easy

Question

Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and

hintHint:

Find the value of x by using the sum of  angles of triangle ABC is 180° .

The correct answer is: x = 90 ,the triangle is an obtuse angled triangle


    ANS :-  x = 90 ,the triangle is an obtuse angled triangle.
    Explanation :- Given the two lines are parallel and two are transversals .
    As alternate interior angles are equal we get, z° = 20°
    ∴z = 20
    Using sum of angles in triangle is 180° we get ,
    20°+ 30°+ 2x°=180° (sum of angles in a triangle)
    2x°+50° = 180°
    2x° = 130°  x° = 65°
    ∴ x = 65
    2x° = y° ( vertically opposite angles are equal)
    130° = y°
    ∴ y = 130

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