# Can you draw a quadrilateral with no parallel lines and at least one right angle? True or false?

**Solution: **

Basically, a quadrilateral is a closed 2-D figure with four sides.

We will show a quadrilateral with no parallel lines and at least one right angle.

A quadrilateral with no parallel lines and at least one right angle is drawn below. You can see that angle ADC is 90 degrees.

Sum of the interior angles of a quadrilateral adds up to 360°

Consider a quadrilateral with ∠ADC = 90°, We also know that sum of the angles is 360 degrees.

Therefore, the sum of the other 3 angles is 270 degrees,

Now, in this, if opposite angles are equal then lines will be parallel.

Let us consider∠DCBA to be 100 degrees that leaves us with ∠DAB +∠ABC to be 170 degrees

Let ∠DAB be 120 degrees therefore ∠ABC is 50 degrees.

SO there can be a quadrilateral with one angle 90 degrees and no parallel sides.

Therefore, there can be a quadrilateral with no parallel sides and at least one right angle.

## Can you draw a quadrilateral with no parallel lines and at least one right angle? True or false?

**Summary:**

True, we can draw a quadrilateral with no parallel lines and at least one right angle.

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