Inscribed Quadrilateral
How to solve the interior angle of an inscribed quadrilateral: formula, 1 example, and its solution.
Formula
For an inscribed quadrilateral,
the opposite interior angles are supplementary.
m∠1 + m∠2 = 180
m∠1' + m∠2' = 180
Example
Solution
Solution (Detail)
The given quadrilateral
is an inscribed quadrilateral.
xº and 100º are the opposite interior angles.
So [x] + [100] = 180.
Move +100 to the right side.
Then x = 80.
The other two angles,
70º and yº,
are the other opposite interior angles.
So [70] + [y] = 180.
Move 70 to the right side.
Then y = 110.
x = 80
y = 110
Write the x and y values below.
So
x = 80
y = 110
is the answer.