Respuesta :

Angles 6 and 8 add up to equal 180, so 2x - 5 + x + 5 = 180.  3x = 180 so x = 60.  Angle 3 is alternate interior to angle 6 which is 2(60) - 5 = 115, so angle 3 is also 115

The measure of angle 3 in the given diagram with relevant parameters is; 115°

What is the measure of the angle?

We are given that;

angle 6 = (2x - 5)°

angle 8 = (x + 5)°

We know that sum of angles in a straight line is 180°. Thus;

2x - 5 + x + 5 = 180

3x = 180

x = 180/3

x = 60.  

Now, Angle 3 is an alternate interior angle to angle 6 which means it is equal to angle six.

Thus;

angle 3 = angle 6 = 2(60) - 5 = 115°

Read more about angle measure at; https://brainly.com/question/2009183

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