Inscribed Quadrilateral

How to solve the interior angle of an inscribed quadrilateral: formula, 1 example, and its solution.

Formula

Formula

For an inscribed quadrilateral,
the opposite interior angles are supplementary.

m∠1 + m∠2 = 180
m∠1' + m∠2' = 180

Example

Example

Solution

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.