Answers:
- angle N = 90 degrees
- angle J = 35 degrees
- angle T = 55 degrees
- largest angle = angle N
- smallest angle = angle J
- longest side = JT
- shortest side = NT
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Step-by-step explanation:
The three inside or interior angles of a triangle always add to 180 degrees.
N+J+T = 180
90 + (x+28) + (x+48) = 180
2x+166 = 180
2x = 180-166
2x = 14
x = 14/2
x = 7
Then we can say,
- angle J = x+28 = 7+28 = 35 degrees
- angle T = x+48 = 7+48 = 55 degrees
Note that J+T = 35+55 = 90, to show these acute angles are complementary.
The largest angle is N = 90. The smallest angle is J = 35.
The largest side is opposite the largest angle. The longest side is JT which is the hypotenuse of the right triangle.
The shortest side is opposite the smallest angle. The shortest side is NT.