Question

answer attempt 1 out of 2
parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid
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Explanation:

Step1: Recall the properties of quadrilaterals

A quadrilateral is a four - sided polygon. A parallelogram has opposite sides parallel and opposite angles equal. A rectangle has four right angles. A rhombus has all sides equal. A square has four right angles and all sides equal. A trapezoid has one pair of parallel sides.

Step2: Check the sum of angles

The sum of interior angles of a quadrilateral is \((4 - 2)\times180^{\circ}=360^{\circ}\). For the given angles \(76^{\circ}+108^{\circ}+86^{\circ}+90^{\circ}=360^{\circ}\), so it is a quadrilateral.

Step3: Check for other properties

Since there is no information about parallel sides (except for the general case of a quadrilateral which doesn't require specific parallel side conditions like a trapezoid/parallelogram etc. in terms of just being a quadrilateral) and angles are not all equal (so not a square/rectangle/rhombus which have more specific angle/sidelength properties)

Answer:

Quadrilateral