Question

1. alex drew the triangles shown. which of the following correctly describes the triangles? (1 point) both triangles are isosceles. only one triangle has a right angle. only one triangle has an acute angle. both triangles have an obtuse angle.

Explanation:

Step1: Recall triangle properties

An isosceles triangle has two equal sides. A right - angled triangle has one \(90^{\circ}\) angle. An acute - angled triangle has all angles less than \(90^{\circ}\). An obtuse - angled triangle has one angle greater than \(90^{\circ}\) but less than \(180^{\circ}\).

Step2: Analyze the first option

There is no indication from the visual (no side - length markings) that both triangles are isosceles.

Step3: Analyze the second option

There is no right - angle symbol (a small square) in either triangle, so the claim of a right - angle is wrong.

Step4: Analyze the third option

All triangles have three acute angles (since the sum of angles in a triangle is \(180^{\circ}\)). If a triangle has an obtuse angle (\(> 90^{\circ}\)), the other two angles must be acute (\(<90^{\circ}\)). So the statement “only one triangle has an acute angle” is incorrect.

Step5: Analyze the fourth option

By observing the shape of the triangles (the "wide" angle in each), we can see that both triangles have one angle greater than \(90^{\circ}\) (obtuse angle).

Answer:

Both triangles have an obtuse angle.