Q: One of a pair of consecutive angles whose common side is a base of the trapezoid?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

It is a trapezoid in which the non-parallel sides are of the same length and subtend equal angles with the base. It can be viewed as an isosceles triangle whose apex has been removed by a line parallel to its base.

A rectangle and a trapezoid are alike in that:both are polygonsboth have four sides (that is, both are quadrilaterals)both have four anglesboth have interior angles whose sum is 360°both have exterior angles whose sum is 360°both have at least one pair of parallel sidesthe area of each is (1/2 of the height) times (the sum of the bases)both can tesselateBy definition, a rectangle is NOT a trapezoid since a trapezoid can have ONLY one set of parallel sides and a rectangle always has two.

A trapezoid with its nonparallel sides congruent is called an isosceles trapezoid.

A trapezoid whose non-parallel sides are of different lengths.

linear pair

Related questions

There are four angles in a trapezoid since a trapezoid is a quadrilateral. A quadrilateral has four sides and four angles.

It is a trapezoid in which the non-parallel sides are of the same length and subtend equal angles with the base. It can be viewed as an isosceles triangle whose apex has been removed by a line parallel to its base.

A trapezoid is a quadrilateral. All quadrilaterals have four angles whose sum is 360 degrees. If two of the angles are right angles, that accounts for 180 degrees of the total. Therefore, the other two angles must total 180 degrees as well.

A square is a rectangle (whose sides are all equal), or a rhombus (whose angles are all equal).

Since a trapezoid is a quadrilateral whose bases are parallel and not congruent, then one of its sides can be perpendicular to its bases (as the shortest distance between two parallel lines). Such a trapezoid is called a right trapezoid.

Let's do an example.Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:tan (base angle of the trapezoid) = 4/3, andthe base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.

A rectangle and a trapezoid are alike in that:both are polygonsboth have four sides (that is, both are quadrilaterals)both have four anglesboth have interior angles whose sum is 360°both have exterior angles whose sum is 360°both have at least one pair of parallel sidesthe area of each is (1/2 of the height) times (the sum of the bases)both can tesselateBy definition, a rectangle is NOT a trapezoid since a trapezoid can have ONLY one set of parallel sides and a rectangle always has two.

An isosceles trapezoid

An isosceles trapezoid

Supplementary angles.

That would be an isosceles trapezoid.

A trapezoid with its nonparallel sides congruent is called an isosceles trapezoid.