Unit four lesson two use the triangle angle sun theorem to find the measures of each angle for the triangle shown in the diagram. In the diagram we have 4X +6° and then we have 5X -1° and then we have a 8X +5° would the answer be 46,49 and 85 or 42,44 and 79 or 46,50 and 85 or 5054 and 93
To find the measures of the angles in the triangle, we can set up an equation using the Triangle Angle Sum Theorem, which states that the sum of the angles in any triangle is always 180 degrees.
So, we can set up the equation:
4X + 6 + 5X - 1 + 8X + 5 = 180
Combine like terms:
17X + 10 = 180
Subtract 10 from both sides:
17X = 170
Divide by 17:
X = 10
Now we can find the measure of each angle by plugging in X:
Angle 1: 4X + 6
4(10) + 6 = 46
Angle 2: 5X - 1
5(10) - 1 = 49
Angle 3: 8X + 5
8(10) + 5 = 85
Therefore, the measures of each angle for the triangle are 46, 49, and 85. So the correct answer is 46, 49, and 85.