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ABCD is a quadrilateral A) Calculate the value of x. B) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? You must justify your answer without using a scale drawing

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djbravo1010

Answer:

The Value of x is 45.

∴ When ABCD is drawn to scale then

AD || BC .........{Interior angle are Supplementary between Parallel Lines}

Step-by-step explanation:

[]ABCD is a Quadrilateral

∠A=2x°

∠D=3x°

∠C=x°

∠B=90°

To Find:

x = ?

Is AD || BC ?

Solution:

In a Quadrilateral Sum of the measure of all the angle is 360°

∠A+ ∠B+ ∠C+ ∠D=360°

Substituting the values we get

therefor

∠ A and ∠ B are Interior Angles

And Their SUM is 180°

∠ A + ∠ B = 90 + 90 = 180°

∴ AD || BC .........{Interior angle are Supplementary between Parallel Lines}

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