Question

PLEASE HELPPP I can’t really understand this

Answer 1

Answer:

24°

Step-by-step explanation:

Let x = one complementary angle

Let y = the other complementary angle

As the sum of two complementary angles is 90°:

x + y = 90

If one angle is 18° more than two times the other angle:

y = 18 + 2x

Rewrite x + y = 90 to make x the subject:

x = 90 - y

Now substitute x = 90 - y into y = 18 + 2x and solve for y:

y = 18 + 2(90 - y)

⇒ y = 18 + 180 - 2y

⇒ 3y = 198

⇒ y = 198 ÷ 3 = 66

Now substitute found value of y = 66 into x + y = 90 and solve for x:

x + 66 = 90

⇒ x = 90 - 66 = 24

Therefore, the larger angle = 66° and the smaller angle = 24°