Can someone check my work. i don't know what i did wrong

m∠1 = 51 - you're correct.

m∠2 = 34 - the sum of the interior angles of all triangles is 180 degrees. If you set the sum of all three interior angles equal to 180 and solve for the missing interior angle measure, you will get 34.

180 = 51 + 95 + x
180 = 146 + x
34 = x

m∠3 = 95 - you're correct.

m∠4 = 38 - you're correct.

m∠5 = 47 - you're correct.

To find m∠6, first find m∠7.

m∠7 = 59 - angle 7 is supplementary with the 121° angle; together they are 180 degrees. If you solve 180 = 121 - x for x, you see that m∠7 is 59°.

m∠6 = 74 - 180 (the sum of the interior angles of every triangle) minus the other two angle measures yields the measure of angle 6.