Math  /  Geometry

QuestionIdentify the angle measures that can form an acute scalene triangle from these sets: 46,67,6746^{\circ}, 67^{\circ}, 67^{\circ} 46,57,6746^{\circ}, 57^{\circ}, 67^{\circ} 36,57,8736^{\circ}, 57^{\circ}, 87^{\circ} 36,47,9736^{\circ}, 47^{\circ}, 97^{\circ}

Studdy Solution
Finally, we check if the sum of the angles is 180180^{\circ}.
36+57+87=18036^{\circ} +57^{\circ} +87^{\circ} =180^{\circ}So, the third condition is satisfied. Therefore, the third set of angles can be used to construct an acute scalene triangle.
The set of angle measures that can be used to construct an acute scalene triangle is 36,57,8736^{\circ},57^{\circ},87^{\circ}.

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