Angle ABC = 74ºAngle CAB = 48ºWhat is the size of angle BCA?I DON'T KNOWSUBMIT ANSWER

1. Break Down the Problem

We are given two angles in triangle ABC:

• Angle ABC = 74º
• Angle CAB = 48º

We need to find the measure of the third angle, Angle BCA.

2. Relevant Concepts

In any triangle, the sum of all interior angles is always equal to 180º. Thus, we can use the formula: $\text{Angle A} + \text{Angle B} + \text{Angle C} = 180º$

3. Analysis and Detail

Let:

• Angle A (CAB) = 48º
• Angle B (ABC) = 74º
• Angle C (BCA) = x

Using the formula for the sum of angles in a triangle: $48º + 74º + x = 180º$

4. Verify and Summarize

Now we can solve for x: $122º + x = 180º$ Subtracting 122º from both sides gives: $x = 180º - 122º = 58º$

Final Answer

The size of angle BCA is $58º$.