Question

NO LINKS!!! URGENT HELP PLEASE!!!

Find the value of x for both circles please.

Answer 1

1. x - 7

2. x = 6

Explanation:

1. Inscribed Angle

Inscribed Angle = 1/2 Intercepted Arc

10x - 15 = 1/2(110)

10x - 15 = 55

10x = 55 + 15

10x = 70

x = 70/10 = 7

2. Central Angle = Intercepted Arc

8x + 2 = 6x + 14

8x - 6x = 14 - 2

2x = 12

x = 12/2 = 6

Answer 2

1. x=7°

2. x=6°

Explanation:

Since, the measure of the central angle that subtends the same arc of any inscribed angle is twice the measure of any inscribed angle that subtends the same arc.

1.

Central Angle: 110°

Inscribed angle: (10x-15)°

By this :

½*Central Angle = insribed angle.

substituting value

½*110°=(10x-15)°

55+15=10x

70°=10x

x=70/10

x=7°

2.

Central Angle: (6x+14)°

Inscribed angle: (8x+2)°

By this :

Central Angle = insribed angle.

substituting value

(6x+14)=(8x+2)°

6x+14=8x+2

14-2=8x-6x

12=2x

x=12/2

x=6