Question

Calculate the value of x
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Answer 1

Heya buddy!!!!

Here's ur answer

If AB and CD are parallel lines then,

angle BAE = angle EDC

=> angle EDC = 60°

Now, In ∆EDC

x° + 45° + 60° = 180° (angle sum property of triangle)

x + 105° = 180°

=> x = 180° - 105°

=> x = 75°

Hope this helps!!!

Mark as brainliest plzzz...

Answer 2

Answer:

$\boxed{\underline{\Huge{\mathtt{75^\circ}}}}$

Explanation:

$\text{If BA and DC are parallel to each other, then;}\\\angle BAD = \angle ADC\text{ [Alternate Angles are Equal]}\\\implies \angle ADC = 60^\circ\\\text{Now, In} \bigtriangleup DCE\\x+45^\circ+60^\circ=180^\circ \text{ [Angle Sum Property]}\\\implies x+105^\circ=180^\circ\\\implies x=180^\circ-105^\circ\\\implies x=\bold{75^\circ}$