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Q: What are two angles with common sides?
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The kind of angle formed by the non-common sides of two adjacent and complementary sides?

That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).


What do you call two angles that have no common sides but they share a vertex?

They are co-terminal angles.


Can two acute angles have perpendicular sides?

Yes. If the two acute angles have their measures add up to 90 degrees, and both angles share one side that is common to each angle (they are adjacent), then their non-common sides will be perpendicular.


What are two adjecent angles whose non-common sides are two rays going in opposite direction?

Supplementary angles


What is an angle that has 2 sides?

All angles have two sides!


What is Two angles with a common side but not common interior points?

Those angles are called Alternate Exterior Angles. When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.


What is a triangle with two sides and two angles the same?

An isosceles triangle has two sides and two angles that are the same.


What shape have two right angles and two parallel sides?

A rectangle has two right angles and parcel sides


What are the shapes that have 3 sides and 3 vertices?

The shapes that have 3 sides and 3 vertices are called triangles. Triangles are classified based on the lengths of their sides and the measures of their angles. The three most common types of triangles are equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (all sides and angles are different).


What has No congruent sides but two right angles?

A right trapezoid can have no congruent sides and two right angles.


If two sides of a triangle are congruent then the angles oppsite those sides are congruent?

Yes as in the case of an isosceles triangle which has two equal sides and two equal base angles


Which parallelogram has two pairs of parallel sides and no right angles?

A rhombus has two opposing acute angles (less than 90º) and two opposing obtuse (greater than 90º) angles, with the opposing sides being parallel and the sides being of equal length. A parallelogram can have the two acute angles and two obtuse angles, but have sides of different lengths. That is: two opposing sides shorter than the other two opposing sides. All angles total 360º