Question

in figure AB is parallel to CD. find value of x . please answer fast . very important.

Answer 1

Answer:

45 DEGREE

Step-by-step explana

as AB is parallel to CD

angle BAC + angle DCA = 180 ( INTERIOR ANGLES)

THEREFORE ,  ANGLE DCA = 180-75

                                               = 105

ANGLE DCA = ANGLE FCE ( VERTICALLY OPPOSITE ANGLES ARE EQUAL)

THERE ANGLE FCE= 115 DEGREE

NOW IN TRIANGLE FEC  

ANGLE X + ANGLE FCE + ANGLE CFE= 180 ( ANGLE SUM OF TRIANGLE)

X +  105+ 30 = 180

X= 180- 135

X= 45 DEGREE

Answer 2

angle DCF=75° (corresponding angles)

angle FCX=105° (linear pair)

30+105+x=180 (sum of all the angles of a triangle=180°)

135+x=180

x=180-135

x=45°

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