Question

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

On $\angle AXC$is a straight angle.

Short answer

The answer related to given sentence is yes.

Step-by-step solution

Step 1. Determine which postulate is suitable.

Postulate 4 is the suitable postulate which states that if an angle represents itself as a straight angle so the addition of angles that are present in that angle will be equal to $180°$.

Step 2. Relate the given statement with the postulate.

Angle represents itself as a straight angle is$\angle AXC$ and the angle present in this angle are$\angle AXD$ and$\angle DXC$ so the addition of these angles will be equal to $180°$.

Step 3. Determine the answer by using the relation.

As the angle represents itself as a straight angle $\angle AXC$and the angle present in this angle are $\angle AXD$and $\angle DXC$also the addition of these angles is equal to$180°$ so the value of $\angle AXC$is also $180°$because the addition of $\angle AXD$and $\angle DXC$is equal to $\angle AXC$.