Examine whether you can construct ΔDEF such that EF = 7.2 cm, m E = 110o and m F = 80o. Justify your answer.

Here,

According to the question,


It is given that,


E = 110° and F = 80°


That shows that E + F = 110 + 80


= 190°


This is greater than 180°


And, we know that,


The sum of interior angles of triangle is 180°


Hence,


The given measurements cannot form a triangle.


We have to draw figure using following steps of construction:


Step 1: Draw a line segment EF of 7.2 cm



Step 2: Now, from point E draw a ray EX making an angle of 110° from EF.



Step 3: From F, draw a ray FY from EF making 80° angle


Now, we can observe that EX and FY does not intersect.


Hence,


The ΔDEF is not possible.



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