Geometry - Angles at a Point

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Question 1


Find the value of $x$ in the following diagrams

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d
g) a s v d
h) a s v d


Question 2


Find the value of $y$ in the following diagrams

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d
g) a s v d
h) a s v d
i) a s v d
j) a s v d
k) a s v d


Question 3


Find the value of $z$ in the following diagrams

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d
g) a s v d
h) a s v d
i) a s v d
j) a s v d
k) a s v d
l) a s v d


Question 4


Find the value of $q$ in the following diagrams

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d
g) a s v d


Question 5


Find the value of $r$ in the following diagrams

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d


Question 6


Find the value of the acute angle $\angle AOB$ in the following diagrams, giving reasons

a) a s v d
b) a s v d
c) a s v d
d) a s v d
e) a s v d
f) a s v d
g) a s v d
h) a s v d


Question 7


Find the value of the pronumerals in the following diagrams, giving reasons

a) a s v d
b) a s v d
c) a s v d
d) a s v d