Acute angles

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

Correct answer:

x =  67.5 °

Step-by-step explanation:


x+y=90; 3 y = x

x+y=90
3·y = x

x+y = 90
x-3y = 0

Row 2 - Row 1 → Row 2
x+y = 90
-4y = -90


y = -90/-4 = 22.5
x = 90-y = 90-22.5 = 67.5

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

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Tips for related online calculators
Check out our ratio calculator.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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