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TeslaElectric
We are given all the angle measures, therefore we can equate all the expressions to 180 degrees. We can do this by using the Triangle Angle Sum Theorem, which states that all triangles' interior angles add up to 180 degrees. After we do that, we get:
x + 3x + 25 + x - 5 = 180
Now, just solve for x:
x + 3x + 25 + x - 5 = 180
5x + 20 = 180
5x = 160
x = 32
We've found the value of x, but the question asks us the measure of angle G. We can find the angle measure by substituting 32 into the expression for angle G. Doing so and simplifying gives us 121 degrees. Therefore, the measure of angle G is 121 degrees. Hope my answer has come of aid to you and have a great day!

The measure of angle G is 121 degrees and this can be determined by using the sum of interior angle properties.

Given :

  • Triangle FHG
  • Angle F = (x - 5) degrees
  • Angle G = (3x + 25) degrees
  • Angle H = (x) degrees

Applying the sum of interior angles property on the triangle FHG. According to the sum of interior angles property:

[tex]\rm \angle F+ \angle H+\angle G = 180^\circ[/tex]

Now, substitute the values of the known terms in the above equation.

(x - 5) + (x) + (3x + 25) = 180

Simplify the above equation in order to determine the value of 'x'.

5x + 20 = 180

5x = 160

x = 32 degrees

So the angle G is given by:

[tex]\rm \angle G = 3(32)+25[/tex]

[tex]\rm \angle G = 121^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/24006293

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