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16 May 2024, 00:42
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In the figure above, what is the value of \(\frac{x+y+z}{45}\)?
A. 2
B. 3
C. 4
D. 5
E. 6
In the figure above, what is the value of \(\frac{x+y+z}{45}\)?
A. 2
B. 3
C. 4
D. 5
E. 6
19 May 2024, 11:46
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Official Explanation
The sum of the measures, in degrees, of the three interior angles of any triangle is 180°. As shown in the figure, the three angles of the triangle have measures of x°, y°, and z°, so x + y + z = 180. Therefore, \(\frac{x+y+z}{45}\) = \(\frac{180}{45} = 4\), and the correct answer is Choice C.
Answer: C
The sum of the measures, in degrees, of the three interior angles of any triangle is 180°. As shown in the figure, the three angles of the triangle have measures of x°, y°, and z°, so x + y + z = 180. Therefore, \(\frac{x+y+z}{45}\) = \(\frac{180}{45} = 4\), and the correct answer is Choice C.
Answer: C
