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Vanyuwa [196]
3 years ago
5

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics
2 answers:
alexira [117]3 years ago
7 0
We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to 180 degrees. 

So,
 in this problem
(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees

therefore

the answer is
x=50degrees
nlexa [21]3 years ago
3 0
When a quadrilateral is inscriptible the opposite angles are supplementary       
So:   A + C = 180°
X + 20° + 110° = 180°
Then:   
                X = 50°
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