Answer:
Question 4: 70 degrees
Question 5: 150 degrees
Step-by-step explanation:
Question 4:
The shape is a polygon therefore we need to first find the sum of the angle. The formula is: (number of sides - 2) * 180
Rewrite: (5 - 2) * 180 = 540
To get the answer we add all angles together which is:
135 + 120 + 80 + 135 = 470
Minus to get the last angle:
540 - 470 = 70 degrees
So the answer is 70 degrees:
x = 70 degrees
Question 5:
Again the type of shape is an polygon so first we need to find the sum of the angle.
(6 - 2) * 180 = 720
Next add up all the angles together. The square boxes mean the angle is a right angle. So we can just add 90 degrees for every box you see.
90 + 90 + 120 + 120 = 420
Minus the answer with the sum of the total angle to get the missing value:
720 - 420 = 300 degrees
Next since there are two x, and they are at the same position they are the same value so we can just divide and get the answer.
300 / 2 = 150 degrees
Therefore the answer for both x are 150 degrees:
x = 150 degrees.
