Question

Two adjacent angles are in the ratio 5 ratio 3 and they together form an angle of 128 degree find these angles​

Answer 1

• The angles are 80° and 48°.

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Let the angles be x and y.

Their ratio is 5/3:

• x/y = 5/3

Their sum is 128:

• x + y = 128

Solve the system by substitution:

• x = 5y/3

• x + y = 128

• 5y/3 + y = 128
• 8y/3 = 128
• y = 3*128/8
• y = 48

Find x:

• x = 128 - 48 = 80