Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.



Similarly,



According the the angle sum property, the sum of all angles of a triangle is 180 degrees.





Divide both sides by -5.

The value of x is 36.



Now,



Therefore, the values of x, y and z are 36, 67 and 77 respectively.
The original price of the hat is $35. Paolo paid $28 for the hat.
So discount for the hat is $(35-28) = $7
$7 is discounted from $35. We have to find the percentage of the discount.
To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.
So the discount percentage =
((7/35)×100) %
We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.
((1/5) ×100) %
(100/5)% = 20%
So the hat was discounted by 20%.
Answer: He earned 43,344 a year and earned and earned 3612 a month
Answer:
83 is the measure of x.
Step-by-step explanation:
A triangle is equal to 180 degrees. So 180 - 53 - 44 = 83.