Question

7. An angle is equal to 8 times its complement. Determine its measure.
8. If the angles (2x8 - 10)° and (x - 5)º are complementary angles, find x.
e. If the complement of an angle is equal to the supplement of the thrice of it.​

Answer 1

Answer:

7→ 10. 80.

Step-by-step explanation:

7.let assume angle1=x then angle2=8x

analysing,

x+8x=90°

or9x=90°

orx=10°

→8x=80°

Answer 2

Answer:

Step-by-step explanation:

7. Let the angle be x

  then its complement is 90-x

 x = 8(90-x)

 x = 720-8x

 9x = 720

 x = 80   Angle 80 , Its Complement = 10.

8. (2x8 - 10)°  +  (x - 5)º = 90

     16-10 + x - 5 = 90

    x + 1 = 90

    x =89.

e. Let the anlgle be   x

    Its complement =  90-x

    Its supplement  =  180-x

    Hence 3(90-x) = 180-x

     270-3x = 180-x

     2x = 90

     x = 45

   Complement of 45 = 90-45 = 45

  Supplement of 45 = 180 - 45 = 135.