Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

(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

From the diagram, $\angle DBA$ is an exterior - angle of $\triangle OBC$.

Step2: Apply exterior - angle property

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

Answer:

$>$