Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.
Explanation:
The conjecture, #angleA and angleC# allows us to write the following equation:
#angleA + angleC=180^@#
Substitute the equivalent expressions in terms of x:
#x+2+ x-2 = 180^@#
#2x = 180^@#
#x = 90^@#
From this we can compute the measures of all of the angles.
#angleA=92^@#
#angleB=100^@#
#angleC=88^@#
<span>#angleD= 80^@#</span>
2 because you can evenly split it in half 2 different ways
The ratio is 4/5. They both can be reduced down by 9.
Linear. When the difference of y values are the same in a function, they are linear.
Did two of them for you as reference for the rest.
Explanation for #1
The sum of all the angles in a triangle is 180. Simply add the given angles. Take 180 and subtract the sum of the given angles
180 - (58 + 47) = 75
Missing angle is 75
Explanation for #4
A straight angle is 180 degrees. Same thing as the first: add the given angles then take 180 and subtract it.
Then take 180 <em>again </em>and subtract the answer you got from the first step.
180 - (21 + 34) = 125
180 - 125 = 55
The missing angle is 55