Mathematics
Grade9
Easy

Question

Find the value of x.

  1. 63º
  2. 77º
  3. 13º
  4. 14º

hintHint:

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The correct answer is: 13º



    Here angleFGH = 90degree
    That means angleFGO and angleOGH are complimentary angles. When the sum of two angles is equal to 90 degrees, they are called complementary angles.
    angleFGO + angleOGH = angleFGH = 90degree
    But, angleFGO =  63degree and angleOGH  =  (x + 14)degree
    rightwards double arrow 63 degree plus left parenthesis x plus 14 right parenthesis degree equals 90 degree
rightwards double arrow x plus 77 degree equals 90 degree
rightwards double arrow x equals 90 degree minus 77 degree
rightwards double arrow x equals 13 degree
    Thus, the value of x is 13°.

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