Question

Angle K = 50° and angle M = 75° in an isosceles trapezium KLMN, the measure of angle L and angle N respectively is _________ if KL || NM. *
a)130° and 150°
b)130° and 130°
c)105° and 130°​

Answer 1

c)105° and 130°

is the correct options

Answer 2

Given :-

Angle K = 50° and angle M = 75° in an isosceles trapezium KLMN,

To Find :-

Value of angle L and N

Solution :-

Since,

KL || NM

K + L = 180 (Sum of adjacent side = 180°)

50 + L = 180

L = 180 - 50

L = 130

M + N = 180 (Sum of adjacent side = 180°)

75 + N = 180

N = 180 - 75

N = 105

Hence,

Value of L = 130 and N = 105