Answer:
To find the measure of each angle, we need to set up an equation based on the given information.
Let's call one angle x. According to the problem, this angle measures 34 degrees more than 180.
So, we can write the equation as:
x = 180 + 34
Now, let's solve for x:
x = 214
Therefore, the measure of one angle is 214 degrees.
To find the measure of the other angle, we can subtract the measure of the given angle from the total angle measure (180 degrees).
Let's call the other angle y.
To find y, we can subtract x from 180:
y = 180 - 214
Now, let's solve for y:
y = -34
Therefore, the measure of the other angle is -34 degrees.