3:5:7 Angle Ratio

<-- Enter Angle Ratio

A triangle contains angles measurements with a ratio of 3:5:7. Find the angle measurements

Since the sum of the angles of a triangle equal 180°, we have the following relational equation
3x + 5x + 7x = 180
15x = 180

Divide each side of the equation by 15
15x
15
=
180
15

x = 12

Plugging in x = 12 for each of our angle ratios, we get:
Angle 1 = 3 x 12 = 36°
Angle 2 = 5 x 12 = 60°
Angle 3 = 7 x 12 = 84°