Question

Complete the statement, and find the value of x in the diagram. A trapezium with two opposite angles is labeled as 101 degrees. The third angle is bisected with a diagonal line making the angles 11 x degrees, and left parenthesis 9 x plus 6 right parenthesis degrees. The quadrilateral shown is a . x =

Answer 1

The complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3

What are quadrilaterals?

Quadrilaterals are shapes that have four sides and four angles.

The four sides may or may not be congruent, and at the same time the four angles may or may not be congruent

How to determine the value of x?

The image that completes the question is added at the end of this solution as an attachment

From the attached figure, we have the following highlights

• Opposite angles of the quadrilateral are congruent
• Adjacent sides of the quadrilateral are congruent

This means that:

AD = DC

AB = BC

The quadrilateral shown is a kite

So, we have the following congruent angles:

ADB = CDB

Substitute the measure of both angles

11x = 9x + 6

Subtract 9x from  both sides

3x = 6

Divide both sides by 2

x = 2

Hence, the complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3

Read more about quadrilaterals at:

https://brainly.com/question/23935806

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