Question

In the given figure AB parallel to CD then value of x is?

Answer 1

x = 45

Explanation:

AB // CD,

∠AB0 + ∠COB = 180 {Co interior angles}

75 + ∠COB = 180

∠COB = 180 - 75 = 105

∠DOE =∠COB {Vertically opposite angles}

∠DOE = 105

In ΔDOE,

x + 30 + 105 = 180 {angle sum property of triangle}

x + 135 = 180

x = 180 - 135

x = 45