Question

which shape has 2 obtuse angles?

Explanation:

Step1: Recall angle properties

A square (the first pink shape) has four right angles (\(90^{\circ}\)). A parallelogram has two pairs of equal - and - opposite angles.

Step2: Analyze the parallelogram

In a parallelogram (the tilted pink shape), adjacent angles are supplementary (\(A + B=180^{\circ}\)). If one angle is acute (\(<90^{\circ}\)), the adjacent one is obtuse (\(>90^{\circ}\)). So, it has 2 obtuse angles.

Step3: Analyze the green rectangle

The green rectangle (the slanted green shape) has four right angles (\(90^{\circ}\)).

Step4: Analyze the green trapezoid

The green trapezoid (the last green shape) has at most 1 obtuse angle (depending on its type, but not 2 in a non - special case).

Answer:

The pink parallelogram (the one tilted to the right).