The value x is 80°.
Step-by-step explanation:
Given:
∠AOC = 110°
∠AOB = 90°
Concept used:
The angle subtended by an arc at the centre is double the angle subtended by it at the circumference of the circle.
Angles around a point will always add up to 360°
Calculation:
∠BOC = 360° - (∠AOC + ∠AOB)
⇒ ∠BOC = 360° - (110° + 90°)
⇒ ∠BOC = 160°
Now,
∠BAC = ∠BOC/2
∠BAC = 160°/2
∠BAC = 80°
∴ The value x is 80°.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
The value x is 80°.
Step-by-step explanation:
Given:
∠AOC = 110°
∠AOB = 90°
Concept used:
The angle subtended by an arc at the centre is double the angle subtended by it at the circumference of the circle.
Angles around a point will always add up to 360°
Calculation:
∠AOC = 110°
∠AOB = 90°
Angles around a point will always add up to 360°
∠BOC = 360° - (∠AOC + ∠AOB)
⇒ ∠BOC = 360° - (110° + 90°)
⇒ ∠BOC = 160°
Now,
∠BAC = ∠BOC/2
∠BAC = 160°/2
∠BAC = 80°
∴ The value x is 80°.