a quadrilateral, a pair of opposite angles are equal. A pair of adjacent sides are perpendicular and one of the angles is 58 o (not equal to any other angle). Find the measure of angles which are equal.
plz answer with explanation.
Answers
Answer:
Properties of Parallelogram, Rhombus, Rectangle and Square
Quadrilaterals are closed figures with four sides. As they have four angles these are also referred to as quadrangles. A parallelogram is also a quadrilateral like the other common quadrilaterals rectangle and square. In this chapter, we shall learn the specific properties of parallelograms and rhombus.
Suggested Videos
Applications of angle sum property of a quadrilateral
Play
Polygons
Play
Interior angle property an exterior angle property of polygons
Play
Parallelogram
Parallelogram, as the name suggests, has a close association with parallel lines. Yes, this four-sided closed figure has parallel lines. In short, it is a closed figure with four sides with each pair of opposite sides parallel to each other.
Parallelogram
In the figure above, all the shapes have parallel opposite sides, this means that all the closed figure shapes in the image above are parallelograms. Yes, a rectangle and square are also types of parallelograms which show properties peculiar to their names as well.
Properties of Parallelogram
A parallelogram has four sides and four angles. Sometimes the sides and angles may be equal while sometimes they may be different. The difference in sides and angles gives the final shape a different name. For example Square, rectangle, rhombus etc.
Parallelogram
The figure above is of a parallelogram PQRS. What do you notice? PQ and RS are opposite sides and are parallel to each other. Another pair of opposite sides PS and QR are also parallel to each other. PQ and PS are adjacent sides, where PS starts when PQ ends.
These adjacent sides when intersecting with each other from adjacent angles. In the figure above ∠ P is adjacent to ∠S and ∠Q is adjacent to ∠R. ∠P is opposite to ∠R and is equal in measurement. In a parallelogram, two adjacent angles are supplementary while opposite angles are equal in measurement.
You can download Quadrilaterals Cheat Sheet by clicking on the download button below