Respuesta :
Answer:
The third angle is 58
Step-by-step explanation:
The three angles in a triangle add to 180 degrees. Let third angle be x
40 + 82+ x = 180
Combine like terms
122 +x =180
Subtract 122 from each side
122-122 +x = 180-122
x = 58
A triangle is 180 degrees.
The rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. So this is true for any right triangle.
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Add the whole numbers.
40 + 82 + x = 180
Subtract both sides by 122.
122 + x = 180
-122 -122
Gives you the third side to equal 58.
x = 58