# Angles in ratio

The size of the angles of the triangle are in ratio x: y = 7: 5 and the angle z is 42° lower than the angle y. Find size of the angles x, y, z.

Result

x =  91.412 °
y =  65.294 °
z =  23.294 °

#### Solution:

5x = 7y
z = y-42
x+y+z=180

5x-7y = 0
y-z = 42
x+y+z = 180

x = 1554/17 ≈ 91.411765
y = 1110/17 ≈ 65.294118
z = 396/17 ≈ 23.294118

Calculated by our linear equations calculator.

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#### To solve this example are needed these knowledge from mathematics:

Do you have a system of equations and looking for calculator system of linear equations? See also our trigonometric triangle calculator. Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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