Used to triangle song t h e o r e m to find the measures of each triangle for the triangle shown in the diagram eight times plus five degrees five times - 1°, four times plus 6° 85°, 54°, and 93° B 42°, 44 degrees and 79° c 46°, 49° and 85° B 46°, 50° and 85°
To find the measures of the angles in the triangle, we can use the theorem that states that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's assume that the measures of the angles in the triangle are represented by A, B, and C.
From the given information, we have:
8A + 5 + 5B - 1 + 4C + 6 = 180
Simplifying this equation, we get:
8A + 5B + 4C + 10 = 180
Rearranging the terms, we have:
8A + 5B + 4C = 170
Now let's check the answer choices to see which one satisfies this equation:
A) 42°, 44°, and 79°
8(42) + 5(44) + 4(79) = 336 + 220 + 316 = 872
The sum is not equal to 170, so this is not the correct choice.
B) 46°, 49°, and 85°
8(46) + 5(49) + 4(85) = 368 + 245 + 340 = 953
The sum is not equal to 170, so this is not the correct choice.
C) 46°, 50°, and 85°
8(46) + 5(50) + 4(85) = 368 + 250 + 340 = 958
The sum is not equal to 170, so this is not the correct choice.
D) 46°, 54°, and 93°
8(46) + 5(54) + 4(93) = 368 + 270 + 372 = 1010
The sum is not equal to 170, so this is not the correct choice.
Therefore, none of the given answer choices satisfy the equation 8A + 5B + 4C = 170.