Respuesta :
Answer:
90°, 51° and 39°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Let the smallest angle be x then the other angle is x + 12, thus
x + x + 12 + 90 = 180, that is
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
The other angle is 39 + 12 = 51
The 3 angles are 90°, 51° and 39°
The angles of the triangle are 39°, 51°, 90°.
What is angle sum property of triangle?
The sum of all internal angles of a triangle is always equal to 180°
Let the smallest angle of the triangle be = x
Next angle of the triangle = x + 12
It is a right angled triangle (Given)
x + (x + 12) + 90 = 180 (Angle sum property)
2x + 12 = 90
2x = 78
x = 39
Hence the angles of the triangle are 39°, 51°, 90°.
Learn more about triangles on:
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