8 of 15Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove each statement is true. Which would not be a reason?Given: 1. zACB inscribed in a circle1.centered at O2. Draw OC2.3. OA = OB = OC3.4. Label angles (isoscelestriangles)5. C1 = a; c2 = b5.6. a + C1 + X = 180°; b + c2 + y =180°6.7.2c1 + X = 180°; 2c2 + y = 180°7.8. 2c1 + 2c2 + x + y = 360°8.9.10.9. x+y = 180°10.2c1 + 2c2 + 180° = 360°assen11. c + C2 = 90°11.%3D12.12. c1 + C2 =mzACB13. ACB is a right angle13.O Linear pairO Sum of anglesО СРСТСO Isosceles triangle theorem4.

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Description: 8 of 15Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove each statement is true. Which would not be a reason?Given: 1. zACB inscribed in a circle1.centered at O2. Draw OC2.3. OA = OB = OC3.4. Label ang

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 90E

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8 of 15
Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove each statement is true. Which would not be a reason?
Given: <ACB inscribed in a circle centered at O
Prove: <ACB is a right angle
C:
Statements
Reasons
1. 2ACB inscribed in a circle
1.
centered at O
2. Draw OC
2.
3. ОА ОВ
OB = OC
3.
4. Label angles (isosceles
triangles)
4.
5.
5. C1 = a; c2 = b
%3D
6. a + C1 + x = 180°; b + C2 + y =
6.
180°
7.
7.2c1 + X = 180°; 2c2 + y = 180°
8.
8. 2c1 + 2c2 + X +y = 360°
9.
9. x + y = 180°
10
10 2c. + 2C. + 180° = 360°
%24
LO

1. zACB inscribed in a circle
1.
centered at O
2. Draw OC
2.
3. OA = OB = OC
3.
4. Label angles (isosceles
triangles)
5. C1 = a; c2 = b
5.
6. a + C1 + X = 180°; b + c2 + y =
180°
6.
7.2c1 + X = 180°; 2c2 + y = 180°
7.
8. 2c1 + 2c2 + x + y = 360°
8.
9.
10.
9. x+y = 180°
10.2c1 + 2c2 + 180° = 360°
assen
11. c + C2 = 90°
11.
%3D
12.
12. c1 + C2 =mzACB
13. ACB is a right angle
13.
O Linear pair
O Sum of angles
О СРСТС
O Isosceles triangle theorem
4.

Expert Solution

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$To show x + y = 180 ° we will need linear pair . Because they are adjacent angles on a line . To show a + c_{1} + x = 180 ° and b + c_{2} + y = 180 ° we needed sum of angles of a triangle rule . To show c_{1} = a and c_{2} = b we needed isosceles triangle theorem .$

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