# Acute angles

Sizes of acute angles in the right-angled triangle are in the ratio 1: 3. What is size of the larger of them?

Correct result:

x =  67.5 °

#### Solution:

x+y=90; 3 y = x

x+y=90
3•y = x

x+y = 90
x-3y = 0

x = 135/2 = 67.5
y = 45/2 = 22.5

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