Question

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

Answer 1

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

Answer 2

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 $y = 180 - (90 + 25)$

So:

$y = 180 - 115 = 65\\ x = 90\\ y = 65$

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