Question

 In the given figure AB II CD, then the value of x is ​

Answer 1

GIVEN, AB//CD

SO, BE IS THE TRANSVERSAL.

ANGLE AT C=75°+C=180° (CO-INTERIOR ANGLES)

C=105°

ANGLE C = ANGLE INSIDE TRIANGLE (VERTICALLY OPPOSITE ANGLES)

THEREFORE,

ANGLE INSIDE TRIANGLE+X+30°=180° (ANGLE SUM PROPERTY)

105°+30°+X=180°

X=45°