Question

how many acute angles are in triangle jkl? number of acute angles:

Explanation:

Step1: Recall the definition of an acute angle

An acute angle is an angle that measures less than \(90^{\circ}\).

Step2: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step3: Analyze the possible cases for triangle \(JKL\)

Since it is a triangle (not a right - angled or obtuse - angled triangle as there is no indication of a right angle (\(90^{\circ}\)) or an obtuse angle (greater than \(90^{\circ}\) and less than \(180^{\circ}\)) in the given figure), all three angles \( \angle J\), \( \angle K\), and \( \angle L\) must be acute. If one angle were \(90^{\circ}\) or more, the sum of the other two angles would be \(90^{\circ}\) or less, which is not the case for a non - right - angled, non - obtuse triangle shown (it is an acute - angled triangle). So the number of acute angles in triangle \(JKL\) is 3.

Answer:

3