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Mathematics
Mathematics
Problem
At point O, two straight lines intersect forming four angles labelled
∠
1
,
∠
2
,
∠
3
,
∠
4
\angle 1, \angle 2, \angle 3, \angle 4
∠1
,
∠2
,
∠3
,
∠4
in order. If
∠
1
=
(
3
x
+
30
)
∘
\angle 1 = (3x + 30)^\circ
∠1
=
(
3
x
+
30
)
∘
,
∠
2
=
y
∘
\angle 2 = y^\circ
∠2
=
y
∘
and
∠
3
=
(
y
−
30
)
∘
\angle 3 = (y - 30)^\circ
∠3
=
(
y
−
30
)
∘
, answer the following: a. (a) Find the values of
x
x
x
and
y
y
y
. b. (b) Determine the measure of
∠
4
\angle 4
∠4
.
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