Question

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Answer 1

1. )

let smaller angle be x

•°• larger angle = 36 + x

x + (36 + x) = 180 ° ...supplementary angle

2x = 180 - 36

2x = 144

x = 72

smaller angle: x = 72°

larger angle : 36 + x = 36 +72 = 108°

2.)

let angles be x and y

their difference = x - y = 14 ..a

and x + y = 90° ...complementary angle ..b

• Adding a and b

x - y = 14

x + y = 90

2x = 104

x = 104/2 = 52°

• substituting in a

•°• 52 - y = 14

52 - 14 = y

38° = y

angles are 52° and 38°

Answer 2

Answer:

32 and 56

Step-by-step explanation:

Let the two angles be "x" and "x + 14"

as they are complement = 90°

x + x + 14 = 90

2x + 14 = 90

2x = 90 - 14

2x = 76

x = 76/2

x = 38

hence the two angles are.... x = 32

and x + 14 = 38 + 14 = 52