Question

Construct the following Quadrilateral of given measures. In Quadrilateral MORE : \[l\left( {MO} \right) = 5.8cm,{\text{ }}l\left( {OR} \right) = 4.4cm,{\text{ }}m\angle M = {58^ \circ },{\text{ }}m\angle O{\text{ }} = {105^ \circ },{\text{ }}m\angle R{\text{ }} = {90^ \circ }.\]

Answer 1

Hint: A Quadrilateral can be easily drawn with the help of a ruler, protractor rounder, and pencil. A quadrilateral is a plane figure that has got four sides or edges. It can be easily drawn by applying given data.

Complete step-by-step solution:
Draw a line \[MO\] measuring \[5.8cm\] with the help of your ruler.
Then, to draw \[MZ\], measure angle \[\angle OMZ = {58^ \circ }\]with the help of a protractor and rounder and draw an arc over the line \[MO\]. Then with the help of a ruler, draw \[MZ\].
Then, to draw \[OR\], measure angle \[\angle MOR{\text{ }} = {105^ \circ }\]and draw an arc over the line \[MO\] and then join the line with the help of a ruler measuring \[4.4cm\]. Name the line as \[OR\].
Then to draw \[RE\] again with the help of a protractor and rounder mark an arc at the end of the line \[OR\] measuring angle \[\angle ORE{\text{ }} = {90^ \circ }\]. After this, draw a straight line \[RE\] with the help of a ruler.
 

Note: A Quadrilateral a four-sided figure. The three important attributes of a quadrilateral we need to remember are it has four sides, four vertices, and the important one, the sum of the interior angles should be equal to 360 degrees. This is not a figure having equal sides or angles.