Question

∠3 and ∠4 are _______.



supplementary angles
complementary angles
vertical angles
congruent

Answer 1

Supplementary, this is math

Answer 2

Answer : The $\angle 3\text{ and }\angle 4$ are, supplementary angles.

Explanation :

Supplementary angles  : The two angles are supplementary angle in whcih the the sum of those two angle are $180^o$

Complementary angles  : The two angles are complementary angle in whcih the the sum of those two angle are $90^o$

Vertical angles  : Vertical angles are the angles that are opposite to each other when two lines intersect each other.

Congruent angle : It is defined as they have the same angles.

From the above information we conclude that,

$\angle 1\text{ and }\angle 2$, $\angle 2\text{ and }\angle 3$, $\angle 3\text{ and }\angle 4$ and $\angle 4\text{ and }\angle 1$ are the supplementary angles.

$\angle 1\text{ and }\angle 3$ and $\angle 2\text{ and }\angle 4$ are the vertical angles.

Hence, the $\angle 3\text{ and }\angle 4$ are, supplementary angles.