Question

AB||CD and AD is a transversal A=60°,C=45°,find x=?
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Answer 1

GIVEN :

AB is parallel to CD

AD is a transversal

A = 60° and C = 45°

TO FIND :

Angle of x

SOLUTION :

AB||CD then angle D = angle A = 60°

We know that,

Sum of angles in ∆ = 180°

60 + 45 + <x = 180°

105 + <x = 180°

<x = 180 - 105

<x = 75°

Therefore, <x is 75°.

Answer 2

Answer:

AB//CD. (given)

therefore, <BAD=<DCA

(AD is transversal)

therefore, <D= 60°

in ∆ DEC,

x+45°+60°= 180

x= 180°- 105°

x= 75°