Given the following diagram, find the required measure.Given: l | | mm 1 = 140°m 3 = 50°m 6 =30405090

Answer:m∠6 = 90°Step-by-step explanation:∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:180-140 = 40°The measure of ∠2 is 40°.The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:180-(40+50) = 180-90 = 90°m∠6 = 90°