To find the largest angle in the triangle, we need to add up all the angle measures and set the sum equal to 180° (since the sum of the angles in a triangle is always 180°).
(×-20)° + (3×+3)° + (2×-7)° = 180°
Now, we can combine like terms and solve for x:
× + 3× + 2× - 20 + 3 - 7 = 180
6× - 24 = 180
6× = 204
x = 34
Now that we have found x, we can substitute it back into the angle measures to find the largest angle:
(×-20)° = (34-20)° = 14°
(3×+3)° = (3(34)+3)° = 105°
(2×-7)° = (2(34)-7)° = 61°
The largest angle in the triangle is the one with the measure of 105°.
Use the Triangle Angle Sum Theorum to find the largest angle in a triangle with angle measures of (×-20)°, (3×+3)°, and (2×-7)°
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