Answer:
x = 32°
y = 17°
Step-by-step explanation:
Let's look at the bottom triangle since it has two angles.
62° + 75° = 137°
180° - 137° = 43°
The missing angle measure is 43°. Since the two angles make up a straight line,
(4x + 9)° + 43° = 180
4x + 52° = 180°
4x = 128°
x = 32°
The angle measuring 62° is a vertical angle so the angle opposite it is also 62°. The missing angle for that triangle would 40° because 180° - 140° = 40°.
62° + 40° = 102°
180° - 102° = 78°
(5y - 7)° = 78°
5y = 85°
y = 17°
Hope that helps.
