What is the measure of angle 2 in this parallelogram

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°.

step-by-step explanation: