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3 years ago

5

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

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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