Question

Given the diagram, tell whether you can reach the conclusion shown.

Point $Y$lies in the interior of $\angle 3$.

Short answer

The answer related to given sentence is yes.

Step-by-step solution

Step 1. Observe the given figure.

The given figure represents that the$\Delta ACB$ contains the point role="math" localid="1648819749786" $Y$.

Step 2. Determine which angle is equal to ∠ACB.

The angle that is present in$\Delta ACB$ is$\angle 3$ so it can be said that the angles$\angle ACB$ and$\angle 3$ are equal to each other.

Step 3. Make the conclusion.

As the angles$\angle ACB$ and $\angle 3$are equal to each other which represents that the angle$\angle 3$ contains the point $Y$ inside it.