Question

A quadrilateral MNOP in which MN = NO=OP=PM=5cm and angle M=100°,angle O =80°​

Answer 1

Given:

Dimensions of the quadrilateral MNOP where MN = 4cm, NO = 5cm, angle M = 60°, angle N = 135° and angle O = 90°

To find:

Constructing the quadrilateral MNOP with the given dimensions

Solution:

For constructing the quadrilateral MNOP, following steps would be followed.

Step 1: First construct a line NO of 5cm.

Step 2: Then draw an angle of 135° from vertex N by using a protractor.

Step 3: After constructing the angle, measure a length of 4cm by placing the compass on the scale and then mark the point forming a line MN.

Step 4: Now construct an angle of 90° from vertex O.

Step 5: Finally join the vertex points M and P together to form the required quadrilateral MNOP.

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Hence, required quadrilateral MNOP is formed.