A circle is inscribed with quadrilateral A B C D.
Let the measure of Arc B C D = a°. Because...
![subject](/tpl/images/cats/mat.png)
Mathematics, 24.05.2020 00:01 Gigglygoose3159
A circle is inscribed with quadrilateral A B C D.
Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc B A D is 360 – a°. Because of the theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
inscribed angle
polygon interior angle sum
quadrilateral angle sum
angle bisector
![ansver](/tpl/images/cats/User.png)
Answers: 2
![](/tpl/images/ask_question.png)
![](/tpl/images/ask_question_mob.png)
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 14:10, jessicapbailey52
Which linear equations have an infinite number of solutions? check all that apply. (x – 3/7) = 2/7(3/2x – 9/14)8(x + 2) = 5x – 1412.3x – 18 = 3(–6 + 4.1x)(6x + 10) = 7(x – 2)4.2x – 3.5 = 2.1 (5x + 8)
Answers: 3
![image](/tpl/images/cats/mat.png)
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:00, fatimababy
700 miles the train takes 5 hours to a travel the distance at what unit rate is the train traveling?
Answers: 1
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:20, tsedeneyaalemu2924
Write the equations in logarithmic form 10^3=1,000
Answers: 1
You know the right answer?
Questions in other subjects:
![Konu](/tpl/images/cats/health.png)
![Konu](/tpl/images/cats/ekonomika.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.04.2021 02:30
![Konu](/tpl/images/cats/biologiya.png)
Biology, 15.04.2021 02:30
![Konu](/tpl/images/cats/himiya.png)
Chemistry, 15.04.2021 02:30
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.04.2021 02:30
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.04.2021 02:30
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/mat.png)