The measure of angle xsn is 38° and the measure of angle ynp is 56°. what is the measure of angle sxn and angle sxv?

∠SXN = 108°; ∠SXV = 72°

Step-by-step explanation:

∠SXN

∠YNP and ∠ QNX are vertically opposite angles, so

∠QNX = ∠YNP = 56°

∠QNX + ∠SNX = 90°

     56 + ∠SNX = 90     Subtract 56 from each side

             ∠SNX = 34°

∠SNX + ∠XSN + ∠SXN = 180°

   34   +    38   + ∠SXN = 180

                 72   + ∠SXN = 180     Subtract 72 from each side

                           ∠SXN = 108°

∠SXV

∠SXN and ∠SXV are supplementary angles, so

∠SXN + ∠SXV = 180

   108 + ∠SXV = 180     Subtract 108 from each side

            ∠SXV =   72°

answer:

idk

step-by-step explanation: