Answer:Measure of the angles are 50, 130, 50 & 130
Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.
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Let one angle be A
Other adjacent angle b will be 180-a
Given b = 2a + 30. Eqn (1)
As B = 180 - A,
Substituting value of b in Eqn (1) we get,
2
A
+
30
=
180
−
A
∴
3
a
=
180
−
30
=
150
A
=
50
,
B
=
180
−
A
=
180
−
50
=
130
Measure of the four angles are
50
,
130
,
50
,
130
