alervxo
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.

A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°

D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°

E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°

Sagot :

really226

Answer:

A:  angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B:  angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

D:  angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°

Step-by-step explanation:

The sum of opposite angles of a cyclic quadrilateral is 180°

It must satisfy the following:

A+C=180° and B+D=180°

Only choice A and B and D satisfy.

ashishdwivedilVT

The correct options are options A, B, and D.

What is a cyclic quadrilateral?

A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.

A) ∠A =90°

∠B=90°

∠C =90°

∠D =90°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

B) ∠A =80°

∠B=80°

∠C =100°

∠D =10 0°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.

C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.

D) ∠A + ∠C = 180°

∠B + ∠D =180°

So,  this quadrilateral can come from a cyclic quadrilateral.

E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.

Therefore, The correct options are options A, B, and D.

To get more about the cyclic quadrilateral visit:

https://brainly.com/question/24142962

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.