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Mathematics
Mathematics
Problem
At point
Q
Q
Q
, two lines intersect forming four angles. Let
∠
A
Q
B
=
(
6
y
−
14
)
∘
\angle AQB=(6y-14)^\circ
∠
A
QB
=
(
6
y
−
14
)
∘
and the vertically opposite angle
∠
C
Q
D
=
(
4
y
+
26
)
∘
\angle CQD=(4y+26)^\circ
∠
C
Q
D
=
(
4
y
+
26
)
∘
. (i) Determine the value of
y
y
y
. (ii) Find the measure of all four angles at
Q
Q
Q
.
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