Question

*20 points* (9th grade) Value of x please

Answer 1

X=20

First observe the triangle, look at how the two sides are congruent. With that you can realize that the bottom right angle (3x+7) is congruent I the bottom left, meaning the bottom left angle is also 3x+7.

Next you would want to add 5x+13 to 3x+7 which will equal 180 because the two angles are on the same line and a line is 180 degrees. The equation would look like this after adding all like terms together: 8x+20=180. Next subtract 20 from both sides which will then look like 8x=160. Next isolate x by dividing by 8 on both sides to get x=20

Answer 2

Answer: x is 20

Because both angles together make up 180° you can simply rearrange the equation to get 8x+20=180 and by solving you can come to the conclusion x=20