For cyclic quadrilateral ABCD , m and m . Determine the value of x .
A)x = 50
B)x = 100
C)x = 120
D)x = 130

Name: For cyclic quadrilateral ABCD , m and m . Determine the value of x . A)x = 50 B)x = 100 C)x = 120 D)x = 130
Brand: Quizplus
Rating: 4.9 (35 reviews)

Question

For cyclic quadrilateral ABCD , m  and m  . Determine the value of x .
A)x = 50 
B)x = 100 
C)x = 120 
D)x = 130

Quizplus · Accepted Answer

In a cyclic quadrilateral, opposite angles add up to 180 degrees.
So, we have:
$\angle C + \angle A = 180$
$2x + x + 30 = 180$ (substituting the given angles)
$3x + 30 = 180$
$3x = 150$
$x = 50$
Therefore, the answer is B, $x=100$.

For Cyclic Quadrilateral ABCD , M and M