Answer:
Since, m
∠
4 and
∠
118
∘
are Linear Pair.
Therefore, m
∠
4+118
∘
=180
∘
⟹
m
∠
4=62
∘
Also, m
∠
4 and
∠
(8
x
+6)
∘
are Alternate Interior Angles.
Therefore, m
∠
4=
∠
(8
x
+6)
⟹
8
x
+6=62
∘
⟹
8
x
=56
∘
⟹
x
=7
Answer: Since, m
∠
2 and
∠
133
∘
are Alternate Interior Angles.
Therefore, m
∠
2=133
∘
Also, m
∠
3 and
∠
133
∘
are Consecutive Interior Angles.
Therefore, m
∠
3+133
∘
=180
∘
⟹
m
∠
3=47
∘
Also, m
∠
1 and m
∠
3 are Alternate Interior Angles.