90+10x
(value of x)
So the answer is 90.8°
The correct answer would be 88.5° because 72 + 10X = 90 + X and then you have to subtract that from 110 degrees. (110 - 90 = 20, 20 / 2 = 10, so you add 10 to both sides of the equation)
110-90=20
20/2=10
10+X=10
X=0.5°
110-90+0.5 = 20.5 and that answer is rounded up to 21°
(The reason it is not rounded down to 20° is because 10/2 is 5 but you don't add it to 10 so it would be rounded down)
So the answer is 88.5°
X=88.5 ° Note: "That" in that mangle PQS = 110 ° does not refer to the answer x and therefore should be omitted. Example: Given mangle PQS = 110 °, find the value of x.
Answer: 90.8° (rounded up to the nearest degree)
Note: In free response questions, typically one decimal place is needed in the answer even if no decimal places are given in the question. For example, 1/3 is 0.33333..., and the answer is 0.3 (not 0).
88.5° should be rounded up to 90° because you add 72 + 10x which equals 90 + x and then you subtract that from 110 degrees which gives you 20 degrees. Then 20/2 = 10 so that's when you add 10 to both sides. 110 - 90 + 0.5 equals 20.5 but since 10/2 is 5 and you add that to 10 so it's now 29.5 which means you have to subtract 15 from both sides of the equation (since you can't subtract half a degree) which leaves you with 14.5 degrees, which rounds up to 15 degrees. So the answer is 88.5°.
So the correct answer should be 90°
