Question

∠5 is a supplement of ∠6, and m∠5=78°. Find m∠6.

Answer 1

Answer:

$102^\circ$

Step-by-step explanation:

Given that:

$\angle 5$ is a supplement of $\angle 6$.

m$\angle 5$ = 78°

To find:

m$\angle 6$ = ?

Solution:

First of all, let us learn about the concept of an angle being a supplement of the other angle.

$\angle B$ is known as supplement of $\angle A$, if sum of the two angles is equal to 180°.

$i.e. \angle A +\angle B=180^\circ$.

For example, angle made on one side by a line intersecting the other line are supplement of each other.

Here, we are given that $\angle 5$ is a supplement of $\angle 6$.

In other words:

$\angle 5+\angle 6=180^\circ$

Putting value of $\angle 5$:

$\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}$

So, the answer is: $102^\circ$