Answer:
See Below
Step-by-step explanation:
The interior angles of a triangle add up to 180.
So if you know the first two angles, you can add those angles together and subtract from 180 to find the angle of the third.
180 - ( 47 + 62 )
So angle XZY = 71
Alternate Interior Angle Theorem - when 2 parallel line are cut by a transversal line, the alternate interior angles are congruent (equal).
Using the Alternate Interior Angle Theorem, you know that angle ZXY has to be equal to angle XZV which is 47. Line XZ transverses the two parallel lines.
Using the same theorem, you also know that angle XYZ has to be equal to angle YZW which is 62. Line YZ transverses the two parallel lines.
You can double check your answers by adding all 3 angles on the bottom line VW. Looking left to right, we said the first angle XZV is 47. The middle angle, XZY we calculated to be 71. The 3rd angle, YZW we said is 62. All three of these angles adds up to 180 which is a straight line.
