Question

Examine whether you can construct triangle DEF such that EF =7.2, angle E=110 °and Angle F=80 ° . Justify

Answer 1

If angle E=110 and angle F=80 then
angle E + angle F = 110+80
=190
For a triangle sum of all angles is 180 degree, but in triangle DEF sum of just two angles is more than 180 degree, thus to make this triangle is impossible

Answer 2

Hi !

The given angles are 110° and 80° .

We know that , in a triangle, the sum of 3 angles is equal to 180°

But , here the sum of 2 angles itself is greater than 180°. ( 190 > 180)

Hence, a triangle with these two angles cannot be constructed.