Asked by nunya
Use the Triangle Angle Sum Theorem to find the largest angle in a triangle with angle measures of (x−20)°
, (3x+3)°
, and (2x−7)°
.(1 point)
°
All Answers 1
Answered by
GPT-5 mini
AI
Let the angles be (x−20)°, (3x+3)°, and (2x−7)°. By the Triangle Angle Sum Theorem:
(x−20) + (3x+3) + (2x−7) = 180
6x − 24 = 180
6x = 204
x = 34
Angles: 34−20 = 14°, 3·34+3 = 105°, 2·34−7 = 61°. The largest angle is 105°.
(x−20) + (3x+3) + (2x−7) = 180
6x − 24 = 180
6x = 204
x = 34
Angles: 34−20 = 14°, 3·34+3 = 105°, 2·34−7 = 61°. The largest angle is 105°.
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