two base angles of a trapezoid are _______ supplementary

IT's a Go... ezoid.

Definition of Trapezoid

A trapezoid bone is a quadrilateral with exclusive one twosome of synchronous sides. A shown in the picture infra, the parallel sides of trapezoid ABCD are named bases and the sides that are not duplicate are called legs.

Facts About Trapezoids

The point measure of the quaternary angles add up to 360 degrees. This is in reality true of any quadrilateral. Let lower case letters a, b, c and d make up the angles of trapezoid ABCD.

Past: a + b + c + d = 360 degrees.

The corresponding pairs of base angles, such as A and B, or C and D, are secondary (number to 180 degrees).

angle a + angle b = 180 degrees
angle c + angle d = 180 degrees

Isosceles Trapezoid

There is a special kind of trapezoid bone called an isosceles trapezoid. An isosceles trapezoid is a trapezoid in which the legs are equal in length. Remember that the legs are the not-parallel sides, as opposed to the parallel bases. You'll notice that in the foremost trapezoid in this lesson (above), the legs are NOT equal.

This is an isosceles trapezoid, called ABCD:

It has the following characteristics:

The cardinal lower dishonourable angles let the same amount, and the two superior base angles have the same measure.

angle a = angle d
angle b = angle c

The diagonals have the same lengths.

diagonal Alternating current = diagonal BD

Example Trouble

In isosceles os trapezoideum MATH, side HT is parallel to sidelong MA, line segment MH is congruent to line segment AT. The degree measure of angle MHT = 60 degrees. What are the measures of the separate 3 angles?

Solution:

We know the two legs are appropriate, sol this is an isosceles trapezoid. Donated that, we recognize the two bag angles (T, H) have the same measure. Because we were acknowledged weight H to be 60, we can also sound out that

Angle T = 60

Since the top and bottom angles are supplemental, we know that

Angle M = 180 - 60
Lean against M = 120

Aside the corresponding logic, Angle A = 120 degrees besides.

Lesson provided by Mr. Feliz

two base angles of a trapezoid are _______ supplementary

Source: https://www.freemathhelp.com/feliz-trapezoids/

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