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In the given figure, O is the centre of the circle. For
what values of x and y , chord BC will pass through
the centre of circle where points A, B and C are on
the circle?
(a) x = 90, y = 60 (b) x =75,y= 30
(c) x = 65, y = 90 (d) x =90, y = 65

In The Given Figure O Is The Centre Of The Circle For What Values Of X And Y Chord BC Will Pass Through The Centre Of Circle Where Points A B And C Are On The C class=

Sagot :

Answer:

d

Step-by-step explanation:

If chord BC passes through the centre then it is a diameter . then

∠ BAC is the angle in a semicircle and x = 90°

y = 180° - (90 + 25) ← angle sum in a triangle

y = 180° - 115° = 65°

Thus

x = 90°, y = 65° → d

Lhmarianateixeiraidn

In this exercise we have to use the knowledge of triangles inscribed in a circle, in this way it will be possible to calculate the angles, then:

Letter D

Knowing that it is a triangle inscribed in a circle, in this way we can describe it as:

  • BAC is the angle in a semicircle and x = 90°
  • Angle sum in a triangle is [tex]y = 180 - (90 + 25)[/tex]

So:

[tex]y = 180 - 115 = 65\\ x = 90\\ y = 65 [/tex]

See more about triangles at brainly.com/question/25813512

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