Question

A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why

or why not?
Find the value of ‘x’ from the given

Answer 1

• 80°

Explanation:

A rectangle has same opposite sides and 4 right angles as property of a rectangle.

The photo frame has different diagonal lengths

It makes opposite sides different, therefore it is not a rectangle

Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°

• x - 20° + x + 40° = 180°
• 2x + 20° = 180°
• 2x = 160°
• x = 80°