Question

Given x and y are supplementary angles and the size of angle y is three times the size of angle x. Find the values of x and y.​

Answer 1

• x = 45°
• y = 135°

Explanation:

Given x and y are supplementary angles and the size of angle y is three times the size of angle x, you want the values of x and y.​

Equations

The given relations can be written as the equations ...

x + y = 180°

y = 3x

Solution

Substituting for y gives ...

x + 3x = 180°

x = 180°/4 = 45°

y = 3x = 135°

The values of x and y are 45° and 135°, respectively.

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