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Construct the Following Quadrilateral of Given Measures. in ☐ More, L(Mo) = 5.8 Cm, L(Or) = 4.4 Cm, M∠M = 58°, M∠O = 105°, M∠R = 90° . - Mathematics

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board

Question: 

Construct the following quadrilateral of given measures.

In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90° .

Solution: 

Steps of Construction:

Step 1: 
Draw MO = 5.8 cm.

Step 2: Draw ∠MOX = 105° .

Step 3: With O as centre and radius 4.4 cm, draw an arc cutting ray OX at R.

Step 4: Draw ∠ORY = 90° .

Step 5: Draw ∠OMZ = 58° .  such that ray MZ and ray RY intersect each other at E.

Chapter 8: Quadrilateral : Constructions and Types.

Here, MORE is the required quadrilateral.