Two angles of a triangle are equal and the third angle is greater than each of those angles by 30°. Determine all the angles of the triangle.​

Let the angles be x

∘

,x

∘

and x+30

∘

.

Then,

x+x+(x+30 )=180

⇒3x+30 =180

⇒x=50

∘

.

Two angles of a triangle are equal and the third angle is greater than each of those angles by 30°.

Let x, x, x + 30° be the angles of a triangle.

Sum of all angles in a triangle = 180°

x + x + x + 30° = 180°

3x + 300 = 180° 3x = 150°

x = 50° And x + 30° = 50° + 30° = 80°

Three angles are 50°, 50° and 80°

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