Question

Use the Triangle Angle Sum Theorum to find the largest angle in a triangle with angle measures of (×-20)°, (3×+3)°, and (2×-7)°

Answer 1

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°.