Step-by-step explanation:
∠
A
+
D
=
180
∘
(Sum of cointerior angles)
x
20
2
10
3
30
⇒
−
150
∴
50
Similarly,
B
C
y
92
88
Hence,
,
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Answers & Comments
Step-by-step explanation:
∠
A
+
∠
D
=
180
∘
(Sum of cointerior angles)
x
+
20
∘
+
2
x
+
10
∘
=
180
∘
3
x
+
30
x
∘
=
180
∘
⇒
3
x
=
180
∘
−
30
∘
⇒
3
x
=
150
∘
∴
x
=
150
∘
3
=
50
∘
Similarly,
∠
B
+
∠
C
=
180
∘
⇒
y
+
92
∘
=
180
∘
⇒
y
=
180
∘
−
92
∘
∴
y
=
88
∘
Hence,
x
=
50
∘
,
y
=
88
∘