Free Printable Relationship of the angle between tangent and chord

1.

PMN is a tangent to the circle. Determine the angles segment for ∠PMK

a)

∠NML

b)

∠KLM

c)

∠NMK

d)

∠KMP

2.

PMN is a tangent to the circle. Determine the angles segment for ∠NML

a)

∠LKM

b)

∠KLM

c)

∠NMK

d)

∠KMP

3.

Given that KLM is a tangent to the circle, determine the value of x

a)

$54\degree$

b)

$30\degree$

c)

$60\degree$

d)

$120\degree$

4.

Given that KLM is a tangent to the circle, determine the value of y

a)

$54\degree$

b)

$30\degree$

c)

$60\degree$

d)

$120\degree$

5.

State all the pair of angles with the same value in the following circle.

a)

$y=a$

b)

$x=a$

c)

$y=z$

d)

$x=a\ and\ y=z$

6.

State all the pair of angles with the same value in the following circle.

a)

$y=a$

b)

$x=b$

c)

$y=z$

d)

$y=a\ \ \ \&\ \ \ x=b$

7.

State all the pair of angles with the same value in the following circle.

a)

$x=y$

b)

$f=e$

c)

$z=a$

d)

$x=y,\ f=e\ \&\ z=a$

8.

Given ∠BAC = $42\degree$ , calculate the value of x.

a)

$27\degree$

b)

$69\degree$

c)

$42\degree$

d)

$90\degree$

9.

Given ∠PSR = $38\degree$ , calculate the value of x.

a)

$38\degree$

b)

$69\degree$

c)

$52\degree$

d)

$91\degree$

10.

▵KLM is an isosceles triangle. Given ∠KLN = $68\degree$ , calculate the value of x.

a)

$38\degree$

b)

$68\degree$

c)

$52\degree$

d)

$44\degree$

Relationship of the angle between tangent and chord

Total questions: 10

Worksheet time: 3hrs 30mins

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