Question

13. If O is the centre of the circle, find the value of x:​

Answer 1

Answer:

Value of x is 40°.

Step-by-step explanation:

Here, we can apply the property of circle that if there is a tiangle drawn in a circle with two ends of diameter as two vertices and third point on the circumference then the angle of vertice on circumference is 90° .

So here AngleDBC = 90°

So DCB + ABC is 90°

angle DCB = 50° (90-40)

Now, in triangle DOB,

angleDBO + BOD + ODB = 180° (angle sum property)

we know that angle DOB is 90°

So we get our answer.

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Answer 2

Step-by-step explanation:

angles BCD, BAC are in the same segment and equal to one another

CD is a diameter, AB is diameter

angle CBD = 90, angle ACB= 90°

ange BAC = angle BCD= X

IN ∆ ABC, sum of interior angles = 180°

angle BAC+Angles ABC+ Angle ACB= 180°

=> 40°+90°+Angle BAC= 180°

=> Angle ABC = 180°- 130°

=> Angle ABC = 50°

SO X = Angle ABC = 50°