Question

Two angles of a triangle are of equal measures and each is one fourth the measure of the third
angle. Find all the angles of the triangle.
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Answer 1

Let the equal angles be x and y

x = y

And the third angle be z

1/4 of z = z/4

Sum of angles of a ️triangle is 180°

x + y + z = 180

or, z/4 + z/4 + z = 180

or, z= 120

z/4 = 120/ 4 = 30

So, the angles of the️ triangle are 30°, 30°, 120°

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