Answer:
26°
Step-by-step explanation:
You want the measure of the smallest angle in the triangle with angle measures of (x+3)°, (5x -8)°, (2x +1)°.
Angle sum
The sum of angles in a triangle is 180°:
(x +3)° +(5x -8)° +(2x +1)° = 180°
8x -4 = 180 . . . . . . . . . . . . . . . . . . simplify, divide by °
8x = 184 . . . . . . . . . . . . . . add 4
x = 23 . . . . . . . . . . . . divide by 8
Smallest
The smallest angle is ...
(x +3)° = (23 +3)° = 26°
The measure of the smallest angle is 26°.
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Additional comment
The other two angles are 107° and 47°.
