Question

Find the value of x​

Answer 1

Answer:

Angle AOC = 120 ( Inner Angle)

Angle AOC = 360-120 (Outer Angle)

= 240

Angle ABC = 1/2 Angle AOC (Angle of the chord is equal to half of the angle of the centre of the circle)

= 1/2 * 240

Angle ABC = 120

Angle ABC + x = 180

120 + x = 180

x = 180-120

x = 60

Answer 2

The value of x = 60 °

solution,

< AOC = 120 ° ( Given )

REFLEX < AOC = 360 ° - 120 ° ( Sum of complete angle )

= 240 °

< ABC = 1/2 × REFLEX < AOC ( Relation of inscribed angle and central angle )

= 1/2 × 240 °

= 120 °

< CBD + < ABC = 180 ° ( Straight angle )

X + 120 ° = 180 °

X = 60 °

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Hope it helps you ❤❤❤ !

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