Two angles are complementary. The sum of the larger angle and 4 times
the smaller is 150°. Find the measure of the smaller angles

Respuesta :

Answer:

20°

Step-by-step explanation:

Let x be the larger angle and y be the smaller angle.

Since they are complementary,

x+y = 90 => x=90-y

x+4y = 150

90-y+4y = 150

90 + 3y = 150

3y = 150-90

3y = 60

y = 20°