Subjects geometry

Angle Types Quadrilaterals Ee7983

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1. **Stating the problem:** We need to identify the types of angles present in each of the given quadrilaterals based on the descriptions: obtuse angles only, acute angles only, acute and right angles, acute and obtuse angles. 2. **Understanding angle types:** - An **acute angle** is less than 90°. - A **right angle** is exactly 90°. - An **obtuse angle** is greater than 90° but less than 180°. 3. **Analyzing each quadrilateral:** - **Pink parallelogram (top-left):** Parallelograms have opposite angles equal and adjacent angles supplementary (sum to 180°). Typically, they have two acute and two obtuse angles. - **Orange trapezoid (top-right):** Depending on the trapezoid, it can have a mix of angles. If it is a right trapezoid, it has right angles and acute angles. - **Green quadrilateral (bottom-center):** This can be irregular, but if it has only acute angles, all angles are less than 90°. 4. **Matching the descriptions:** - Pink parallelogram: **acute and obtuse angles** - Orange trapezoid: **acute and right angles** - Green quadrilateral: **acute angles only** 5. **Final answer:** - Pink parallelogram: acute and obtuse angles - Orange trapezoid: acute and right angles - Green quadrilateral: acute angles only