Question

Construct a quadrilateral ABCD in which AB =4.5cm,BC=5cm,angle A =60 degree,angel B=120 degree and angle C=60 degree

Answer 1

Answer:

angle D is 120 degree and CD=4.5cm and AD=5cm

Step-by-step explanation:

If quadrilateral have equal opposite angles then thier opposite sides are also equal

Answer 2

Quadrilateral ABCD  in which AB  =  cm,BC = 5cm,angle A = 60 degree, angel B = 120 degree, angle C= 60 degree and angle D= 120 degree is shown in figure.

Step-by-step explanation:

Given that  

$\angle A = 60^{o},\, \angle B = 120^{o}, \, \angle C = 60^{o}$

And Side AB = 4.5 cm and BC = 5 cm

We know that the sum all interior angle of quadrilateral is 360^{o}.

$\angle A + \angle B +\angle C+\angle D = 360^{o}\\\\60^{o}+120^{o}+60^{o} + \angle D =360^{o}\\\\\angle D = 120^{o}$

Procedure

Consider line BC = 5 cm as the base line.

At vertex B and C draw angle $120^{o}$ and $60^{o}$ respectively.

Cut an arc from the vertex B at A = 4.5 cm.

At vertex A draw an angle $60^{o}.$

Extend the vertex A until it does not cut extended line from the vertex C and mark the cutting point as vertex D and measure the angle \angle D = $120^{o}$.

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