Question

In the triangle ABC, ∠CAB is 45°.

• A. less than
• B. greater than
• C. equal to

Answer 1

The correct option is A less than

According to the angle sum property of triangles, the sum of the measure of internal angles of a triangle is 180°.
i.e.,
$\angle ABC+\angle BCA+\angle CAB=180°$


Here,
∠BCA = 109°
∠CBA = 32°

On substituting, we get,
$\Rightarrow \angle CAB+109°+32°=180°$
$\Rightarrow \angle CAB=180°-(109°+32°)$
$\Rightarrow \angle CAB=180°-141°$
$\Rightarrow \angle CAB=39°$

Hence, ∠CAB is less than 45°.