in the figure o is the centre of the circle angle aoc =80°find the measures of angle abc and angle adc
Answers
Given : o is the centre of the circle angle aoc =80°
To Find : measures of angle abc and angle adc
Solution:
O is the centre of the circle
∠AOC = 80°
∠AOC = 2∠ABC ( Angle formed by chord at center = twice angle formed in same arc segment)
=> 80° = 2∠ABC
=>∠ABC = 40°
ABCD is a cyclic quadrilateral
Sum of opposite angles of cylic quadrilateral = 180°
=> ∠ABC + ∠ADC= 180°
=>40° + ∠ADC = 180°
=> ∠ADC = 140°
∠ABC = 40°
∠ADC = 140°
Learn More:
In the given fig.,O is the centre of the circle and angle AOC =160 ...
https://brainly.in/question/5688860
In figure O is the centre of the circle.if angle OAB=40 and angle OCB ...
https://brainly.in/question/13525291
Answer:
∠ABC = 40°
∠ADC = 140°
Step-by-step explanation:
O is the centre of the circle
∠AOC = 80°
∠AOC = 2∠ABC ( Angle formed by chord at center = twice angle formed in same arc segment)
=> 80° = 2∠ABC
=>∠ABC = 40°
ABCD is a cyclic quadrilateral
Sum of opposite angles of cylic quadrilateral = 180°
=> ∠ABC + ∠ADC= 180°
=>40° + ∠ADC = 180°
=> ∠ADC = 140°
∠ABC = 40°
∠ADC = 140°