Answer:
Step-by-step explanation:
Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).
Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:
180 = (x+8) + (4x) + (196-7x)
180 = x + 8 + 4x + 196 - 7x
180 = -2x + 204
-24 = -2x
12 = x
Now that we have have the value of x, we can solve for the exterior angle.
(7(12) - 16) = 68 degrees
Hope this helps!
