41 =150° and ZA= 140°? (Hint: Recall
In a parallelogram, the lengths of adjacent sic
of 750
Can you construct the quadrilateral
of the angles to construct as in the example
EXERCISE 4.3
Construct the following quadrilaterals.
(i) Quadrilateral MORE
MO= 6 cm
OR = 4.5 cm
M= 60°
ZO = 105°
ZR=105°
lalommam HEAR
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Answer:
Given, Two adjacent sides and three angles.
We know that sum of all the interior angles of a quadrilateral is 360°.
\therefore ∠P + ∠L +∠A + ∠N= 140° + 75° + 150° + ∠N = 360°
\implies ∠N = 360° - (140° + 75° + 150°) = - 5°
But this is not possible, because an angle of a qadrilateral cannot be negative.
Hence, We cannot construct a quadrilateral PLAN.
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