Question

in the following figure IJKL and MNOP are parallelogram find the measure of x​

Answer 1

Answer:

60degre

Step-by-step explanation:

INKA is a parallelogram

angle LKJ = angle JIL b'coz (alternate angles of parallelogram)

angle LKJ = 60degree

in triangle containing anglle x

now, 60 +60 + x = 180(angle sum property of triangle)

x=180-120= 60

Answer 2

Answer:

60°

Step-by-step explanation:

quadrilateral IJKL is parallelogram.___given

LIJ=60°___given

LIJ=LKJ___(Opposite angles of parallelogram are congruent)

LKJ=60°

In ∆PKX

PXK=x

KPX=60°___given

LKJ=PKJ=60°

PXK+PKX+KPX=180°___angle sum property of triangle

PXK+60°+60°=180°

PXK+120°=180°

PXK=180°-120°

PXK=60°

x=60°