To find the measures of each angle in 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.
Let's solve for the measures of each angle:
Let the measures of the angles be denoted as A, B, and C, with A representing 8x+5, B representing 5x-1, and C representing 4x+6.
According to the Triangle Angle Sum Theorem, we have the equation:
A + B + C = 180
Substituting the given expressions for A, B, and C into the equation, we have:
(8x+5) + (5x-1) + (4x+6) = 180
Combining like terms, we have:
17x + 10 = 180
Subtracting 10 from both sides of the equation, we have:
17x = 170
Dividing both sides of the equation by 17, we have:
x = 10
Now, substituting the value of x back into the expressions for A, B, and C, we have:
A = 8(10) + 5 = 85
B = 5(10) - 1 = 49
C = 4(10) + 6 = 46
Therefore, the measures of each angle in the triangle are 85 degrees, 49 degrees, and 46 degrees.
Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.triangle shows 8x+5 and 5x-1 and 4x+6 (1 point) Responses 46°, 50°, and 85° 46 degrees , 50 degrees , and 85 degrees 46°, 49°, and 85° 46 degrees , 49 degrees , and 85 degrees 50°, 54°, and 93° 50 degrees , 54 degrees , and 93 degrees 42°, 44°, and 79°
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1 answer