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triangles are unique in that they're the only shape whose angles add up to 180º. So for this problem, add up all the angles, and if they equal 180º you've got a triangle.

84 + 47 + 49 = 180, so triangle

21 + 57 + 102 = 180, so triangle

55 + 25 + 65 = 145, so no triangle

80 + 70 + 30 = 180, so triangle

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BendingReality BendingReality · Answer 2 · 2022-01-30T09:04:32+01:00

Answer:

1) Yes 2) Yes 3) No 4) Yes

Step-by-step explanation:

⭐ The question asks us for the measure of triangle. So basically a traingle measure or tends upto 180° by summation of all angles of three sides.

⭐ If the sum of measures of those three given angles in question tends upto 180° then it'll be a triangle. If it doesn't match to 180° then they are not a triangle.

#1) 84°, 47°, 49°

=> 131° + 49°

=> 180° ... (It is a triangle)

#2) 21°, 57°, 102°

=> 78° + 102°

=> 180° ... (It is a triangle)

#3) 55°, 25°, 65°

=> 80° + 65°

=> 145° ... (It is not a triangle)

#4) 80°, 70°, 30°

=> 150° + 30°

=> 180° ...(It is a triangle)