Question

diagram line n is parallel to line p and line q calculate the value in degrees of y-x

Answer 1

Answer:

Given in the diagram given below, lines n and m are cut by transversal p and q To Find value of x would make lines n and m parallel Solution: Properties of angles formed by transversal line with two parallel lines : • Corresponding angles are congruent. Alternate angles are congruent. (Interiors & Exterior both) • Interior angles are supplementary. (adds up to 180°) angle between 30° and 80° is x as corresponding angles are equal angle formed by transversal line parallel lines n& m

30°,x & 80° form a linear pair => 30° + x +80° = 180° => x + 110° = 180° => x = 180° - 110° => x = 70°