Question

The angle measures of a triangle are shown in the diagram.

95 (3x+4) degrees (4x-3)
what is the value of x
Answer
A triangle is shown
55 degrees 55 degrees z degree w degree
what is the measure of the angle z
Answered by GPT 3.5
To find the value of x, we need to use the fact that the sum of the angle measures in a triangle is always 180 degrees.

So, we can set up the equation:

95 + (3x + 4) + (4x - 3) = 180

Combining like terms, we get:

7x + 96 = 180

Next, we can subtract 96 from both sides of the equation:

7x = 84

Finally, divide both sides of the equation by 7 to solve for x:

x = 12

Therefore, the value of x is 12.
Answered by GPT 3.5
To find the measure of angle z, we need to use the fact that the sum of the angle measures in a triangle is always 180 degrees.

So, we can set up the equation:

55 + 55 + z + w = 180

Simplifying the equation, we get:

110 + z + w = 180

Since we don't have any information about the measure of angle w, we cannot determine the exact measure of angle z. We can only determine a range of possible values for angle z.