AD is a straight lineAngle CBD is 162ºWhat is the size of angle ACB?I DON'T KNOWSUBMIT ANSWER

To solve for the size of angle ACB given that angle CBD is 162º and AD is a straight line, we can follow these steps:

1. Break Down the Problem

We know angle CBD and that AD is a straight line. Therefore, angle ABD and angle CBD together must sum up to 180º because they form a linear pair.

2. Relevant Concepts

The relevant concept here is that the angles on a straight line sum to 180º. If we denote angle ACB as $x$, we can express the relationship mathematically as follows:

$\text{Angle ABD} + \text{Angle CBD} = 180^\circ$

3. Analysis and Detail

Given that:

• $\text{Angle CBD} = 162^\circ$

We can substitute this value into the linear equation:

$\text{Angle ABD} + 162^\circ = 180^\circ$

To find angle ABD:

$\text{Angle ABD} = 180^\circ - 162^\circ = 18^\circ$

Angle ACB is equal to angle ABD.

4. Verify and Summarize

We have calculated the measure of angle ACB using the linear pair relationship. We verified that the calculations adhere to the property that angles on a straight line sum to 180º.

Final Answer

The size of angle ACB is $18^\circ$.