Question

A triangle has angle measures of 75, 41 and (3x+19) solve for x

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x in the triangle with angle measures of 75, 41, and (3x + 19), we use the fact that the sum of the angles in a triangle is always 180 degrees.

So, we add up the three angle measures and set the sum equal to 180:

75 + 41 + (3x + 19) = 180

Simplify the equation:

116 + 3x + 19 = 180
3x + 135 = 180

Now, subtract 135 from both sides:

3x = 45

Divide by 3 on both sides to solve for x:

x = 15

Therefore, x is equal to 15.

Answer 2

Use the triangle sum theorem to find the measures of each angle sown in the diagram (8x+5) (4x+6) (5x-1)

50, 54 and 93
46, 50 and 85
42, 44 and 79
46, 49 and 85

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let's use the fact that the sum of the angles in a triangle is always 180 degrees to solve for x and find the measures of each angle in the triangle.

Given angles: (8x + 5), (4x + 6), and (5x - 1)

Setting up the equation using the triangle sum theorem:

(8x + 5) + (4x + 6) + (5x - 1) = 180

Simplify the equation:

8x + 5 + 4x + 6 + 5x - 1 = 180
17x + 10 = 180
17x = 170
x = 10

Now that we have found x, we can substitute it back into the expressions for each angle measure:

Angle 1: 8x + 5 = 8(10) + 5 = 80 + 5 = 85
Angle 2: 4x + 6 = 4(10) + 6 = 40 + 6 = 46
Angle 3: 5x - 1 = 5(10) - 1 = 50 - 1 = 49

Therefore, the measures of the angles in the triangle are 85, 46, and 49.

Answer 4

so the answer is 46 49 and 85?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Yes, the correct measures of the angles in the triangle are 46, 49, and 85.