To find the measure of the angles in triangle BNC, we can use the triangle angle sum theorem which states that the sum of the angles in a triangle is always 180 degrees.
In triangle BNC, the angles are labeled as follows:
Angle B = 5X + 4
Angle A = 4X + 14
Angle C = 6X - 3
Using the triangle angle sum theorem, we can set up the following equation:
(5X + 4) + (4X + 14) + (6X - 3) = 180
Combine like terms:
5X + 4 + 4X + 14 + 6X - 3 = 180
15X + 15 = 180
Subtract 15 from both sides:
15X = 165
Divide by 15:
X = 11
Now we can find the measure of each angle by plugging in the value of X:
Angle B = 5(11) + 4 = 59 degrees
Angle A = 4(11) + 14 = 58 degrees
Angle C = 6(11) - 3 = 63 degrees
Therefore, the measure of the angles in triangle BNC is 59 degrees, 58 degrees, and 63 degrees. Therefore, the correct answer is 59, 58, and 63.
Use the triangle angle sun theorem to find the measure of the angles for the triangle in the diagram. In the diagram we have a BNC and then under B we have 5X +4 and then buy a we have 4X +14 and then by the sea we have 6X -3 and would the answer be 59,63 and 48 or 54,44 and 82 or 59,58 and 63 and last would it be 57 54 or 69
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