Q: 120 (CAPF/2009)
question_subject:
Maths
question_exam:
CAPF
stats:
0,7,10,7,8,2,0
keywords:
{'angles': [0, 1, 1, 0], 'triangle': [0, 1, 0, 1], 'degree measures': [0, 0, 1, 0], 'following diagram': [0, 0, 1, 1], 'sum': [0, 2, 5, 4], 'sides': [3, 0, 3, 3]}
In the diagram, we can see that the triangle has three angles labeled A, B, and C.
Using the property that the sum of angles in a triangle is always 180 degrees, we can find the value of each angle.
Since angle A is opposite side B, it is equal to angle B, and since angle B is opposite side C, it is equal to angle C. Therefore, angles A, B, and C are all equal.
The sum of the degree measures of angles A, B, and C is given by:
A + B + C = A + A + A = 3A
To find the value of A, we can divide 720 degrees (option 1) by 3:
720 / 3 = 240
Therefore, each angle A, B, and C is equal to 240 degrees, and the sum of their degree measures is:
3A = 3 * 240 = 720 degrees.
Hence, option 1 (720 degrees) is the correct answer.