Question

What is the measure of the angles $\angle$A + $\angle$B + $\angle$C + $\angle$D + $\angle$E + $\angle$F, in the figure given below.

• A. 360

Answer 1

The correct option is A 360
According to Euclid's equivalent version of fifth postulate, the sum of angles of any triangle is a constant and is equal to
two right angles.


In the figure above given figurer, there are two triangles $△$ABC and $△$DEF.

Now, the sum of angles of $△$ABC is 180${}^{\circ }$ and of $△$DEF is 180${}^{\circ }$.

Hence, the measure of $\angle$A + $\angle$B + $\angle$C + $\angle$D + $\angle$E + $\angle$F = 180${}^{\circ }$ + 180${}^{\circ }$ = 360${}^{\circ }$