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(a) problem 8: (first taught in lesson 44) based on the appearance of t…

Question

(a) problem 8: (first taught in lesson 44) based on the appearance of this diagram, tell whether <, >, or = should be used to complete this inequality. m∠dba ___ m∠obc after you pick your answer press go. < > =

Explanation:

Step1: Observe the angles

We can see that $\angle DBA$ is the exterior - angle of $\triangle OBC$.

Step2: Apply exterior - angle property

The exterior angle of a triangle is greater than either of the non - adjacent interior angles. Here, $\angle DBA$ is an exterior angle of $\triangle OBC$ and $\angle OBC$ is one of the interior angles of $\triangle OBC$ non - adjacent to $\angle DBA$. So, $m\angle DBA>m\angle OBC$.

Answer: