Answer:
First Figure:
Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.
E.) x° = 90° - 68° -----> x° = 22°
Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.
H.) y° = 180° - 90° - 22° -----> y° = 68°
Second Figure:
A similar process can be taken for the second figure.
T.) x° = 180° - 90° - 74° -----> x° = 16°
E.) y = 90° - 50° -----> y° = 40°
Third Figure:
Again, remember that right triangles = 90° and lines = 180°.
C.) w° = 180° - 90° - 31° -----> w° = 59°
R.) x° = 90° - 28° -----> x° = 62°
H.) y° = 180° - w° -----> y° = 180° - 59° -----> y° = 121°
