Me In What My Teacher Said Is Easy

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To find the value of x in the triangle problem, it is essential to apply the theorem that states the measure of an external angle equals the sum of the two opposite angles. Given that one of the opposite angles is 50 degrees, the angle adjacent to the external angle of 125 degrees can be calculated as 180 - 125. The next step involves using the supplementary angle property, where the sum of two angles on a straight line equals 180 degrees. Ultimately, the calculations lead to determining the value of x through geometric reasoning rather than specific formulas. Understanding these principles is crucial for solving the problem effectively.
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Find the value of x. Show all work with justifications.
 

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The sum of the three angles in a triangle is 180 degrees. The sum of two angles making a line is also 180 degrees: that leads to the well known theorem (it's probably in your text) that the measure of an external angle (here the one marked "125") is equal to the sum of the measures of the two opposite angles. One of those two opposite angles is 50 degrees. From that you can find the measure of the angle between "80" and "x" and then find x.
 
Are there any "formulas" to find "x" in this particular problem?...
 
Not that I know of
 
Chikawakajones said:
Are there any "formulas" to find "x" in this particular problem?...

Beside this one
A+B+C=180°
,where A,B,C are the three angles of a plane triangle,nope.
But,as Ivy said,u need to know that the sum of two supplementary angles is 180°.

This is all u need to know to get it done.

Daniel.
 
Again there are no formulas to solve this problem, it is all geometrical.

Step one.
Look at the angle 125. 180-125 will give you the angle on the other side of the line.

Step two add 55+50 and minus the product from 180. this is the upper angle.

Step three add 80+75 then minus that from 180 and that is the angle x
 

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