Question

decide whether the statement about the diagram is true. explain your answer using the definitions you have learned.
$m\angle2 + m\angle3 = 180^{circ}$
true; the angles sum to 180° because they are not complementary.
true; if angles form a linear pair, then the sum of the measures of their angles is 180°.
false; the angles are supplementary, so their measures should sum to 90°.
false; by definition, adjacent angles can sum to any measure between 135° and 180°.

Explanation:

Two angles that form a linear - pair have the sum of their measures equal to 180°. If ∠2 and ∠3 form a linear - pair, then \(m\angle2 + m\angle3=180^{\circ}\). Complementary angles sum to 90°, and supplementary angles sum to 180°. Adjacent angles don't have a fixed sum range like stated in the false options.

Answer:

true; If angles form a linear pair, then the sum of the measures of their angles is 180°.