Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram. The first angle is 5x+4 the second angle is 4x+14 the third angle is 6x-3
the answers are
1. 54 44 and 82
2. 59 58 and 63
3. 57 54 and 69
4. 59 63 and 48
To find the measure of the angles for the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.
So, we can set up the equation:
(5x + 4) + (4x + 14) + (6x - 3) = 180
Combine like terms:
15x + 15 = 180
Subtract 15 from both sides:
15x = 165
Divide by 15:
x = 11
Now we can substitute this value back into the expressions for the angles to find their measurements:
First angle: 5x + 4 = 5(11) + 4 = 55 + 4 = 59 degrees
Second angle: 4x + 14 = 4(11) + 14 = 44 + 14 = 58 degrees
Third angle: 6x - 3 = 6(11) - 3 = 66 - 3 = 63 degrees
Therefore, the measure of the angles for the triangle in the diagram is 59, 58, and 63 degrees. The answer is 2. 59 58 and 63.