Question

the compliment of an angle is 5 degrees more than 4 times the angle. what is the number of degrees in the measure of the angle​

Answer 1

Answer:

x = 17°, y = 73°

Step-by-step explanation:

Compliment of x means 90 - y where x and y are complimentary angles.

Given,

y = 5 ° + 4x .(i)

We know,

x + y = 90 [ complimentary angles ]

x + 5 + 4x = 90 [ substituting (i)]

5x = 90 - 5

x = 85/5

x = 17°

y = 5 + 4x = 5 + 4*17 = 73°

Therefore, x = 17°, y = 73°