Use the Fundamental Identities to Simplify the Expression $\cot \left( 2 \theta - 20 ^ { \circ } \right) = \tan \left( \theta - 10 ^ { \circ } \right)$

Use the fundamental identities to simplify the expression.
- $\cot \left( 2 \theta - 20 ^ { \circ } \right) = \tan \left( \theta - 10 ^ { \circ } \right)$

A) $\theta = 10 ^ { \circ }$
B) $\theta = 40 ^ { \circ }$
C) $\theta = \frac { 17 ^ { \circ } } { 7 }$
D) $\theta = \frac { 83 ^ { \circ } } { 7 }$

Correct Answer:

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