it doesnt show all the answer choices
Without experience that would help you recognize it right away, I think
you would just need to try numbers until you find it.
Pick a number, multiply it by itself with pencil and paper, and see if it works.
(2)² = 4 too small
(3)² = 9 too small, and not growing fast enough; this could take all day
(10)² = 100 still too small
(15)² = 225 oops, too big; go back down
(12)² = 144 too small
(14)² = 196 too big
(13)² = 169 just right; hope the bears don't come back too soon
These angles, 110º and 7xº, are examples of supplementary angles.
Supplementary angles are angles that, when added together, produce a sum of 180º.
This means 110º + 7xº = 180º.
With this equation, 110º + 7xº = 180º, we can isolate the variable and solve for x to answer this question.
110º + 7xº = 180º
The first step to solve for x is to subtract 110º from both sides of the equation.
110º + 7xº - 110º = 7xº
180º - 110º = 70º
7xº = 70º
Since we want 1xº instead of 7xº, we need to divide both sides by 7.
7xº / 7 = xº
70º / 7 = 10º
xº = 10º
Now we have our solution!
The value of x is 10º.
Let's check this to be sure.
7xº, when added to 110º, must equal 180º since 7xº and 110º are supplementary angles.
7xº + 110º = 180º
We found that x is 10º.
7(10)º + 110º = 180º
7 • 10 = 70
70º + 110º = 180º
180º = 180º
This works! That means that x = 10º is in fact the correct answer.
Answer:
x = 10º
Hope this helps!
