119,415 views
9 votes
9 votes
1A) Quad ABCD is inscribed in the circle. Find x. *

1A) Quad ABCD is inscribed in the circle. Find x. *-example-1
User Pierre Carbonnelle
by
2.9k points

1 Answer

20 votes
20 votes

Answer:

x = 34

Explanation:

according to the problem ::

(2x + 9)° + (3x + 1)° = 180° [ since, the opposite angles of a cyclic quadrilateral are supplementary ]

or, 2x + 9 + 3x + 1 = 180

or, 2x + 3x = 180 - 10

or, 5x = 170

or, x = 170 / 5

or, x = 34

therefore, the value of x is 34°

hope that helped ..

User Alejandro Corredor
by
2.9k points