select all the polygons that can be drawn with two opposite angles equal to $105^{\\circ}$.\n\nkite\nrectangl…

select all the polygons that can be drawn with two opposite angles equal to $105^{\\circ}$.\n\nkite\nrectangle\nrhombus\nquadrilateral\nsquare\ntrapezoid

select all the polygons that can be drawn with two opposite angles equal to $105^{\\circ}$.\n\nkite\nrectangle\nrhombus\nquadrilateral\nsquare\ntrapezoid

Answer

Explanation:

Step1: Analyze the properties of a Kite

A kite has one pair of equal opposite angles. These can be $105^{\circ}$.

Step2: Analyze the properties of a Rectangle

All angles in a rectangle must be $90^{\circ}$. Thus, $105^{\circ}$ is impossible.

Step3: Analyze the properties of a Rhombus

Opposite angles are equal. A rhombus can have two opposite angles of $105^{\circ}$.

Step4: Analyze the properties of a Quadrilateral

A general quadrilateral can have any angle sum of $360^{\circ}$, including two $105^{\circ}$ angles.

Step5: Analyze the properties of a Square

All angles in a square must be $90^{\circ}$. Thus, $105^{\circ}$ is impossible.

Step6: Analyze the properties of a Trapezoid

An isosceles trapezoid has equal base angles, but "opposite" angles must sum to $180^{\circ}$ if it is cyclic. However, a general trapezoid can be constructed with two opposite angles of $105^{\circ}$ as long as the total sum is $360^{\circ}$.

Answer:

Kite Rhombus Quadrilateral Trapezoid