what is the measure of angle 2 in this parallelogram

Answer:Hence, we have measure of angle 2 to be 15°. (i.e. m∠2=15°)Step-by-step explanation:We will use the property that:Alternate interior angles have the same measure.As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal.Hence, m∠1=50°Also we now that sum of all the angles of a triangle is equal to 180°.Hence,m∠2+m∠1+115°=180°⇒  m∠2+50°+115°=180°⇒  m∠2+165°=180°⇒  m∠2=180°-165°⇒  m∠2=15°Hence, m∠2=15°.