Question

In the below figure. ABCD is a cyclic quadrilateral with centre 0 in the given figure.
Chord AB is produced to E where angle CBE - 130 . then find the value of x​

Answer 1

Given:

ABCD is a cyclic quadrilateral with center 0 in the given figure.

Chord AB is produced to E where angle CBE - 130

To Find:

value of x

Step-by-step explanation:

• It is given that ABCD is a cyclic quadrilateral . So, in a cyclic quadrilateral the sum of opposite interior angle is $180$° .
• Angle CBA and angle CBE are linear pair so their sum is 180°
• ∠$CBA$$+$∠$CBE=180$° and ∠$CBE=130$°
• ∠$CBA=180-130=50$°
• Now in cyclic quadrilateral , $x+50$°$=180$°
• So, $x=180-50=130$°

The value of x is 130°

Answer 2

ABCD is a cyclic quadrilateral with center 0 in the given figure.

Chord AB is produced to E where angle CBE - 130

To Find:

value of x

Step-by-step explanation:

It is given that ABCD is a cyclic quadrilateral . So, in a cyclic quadrilateral the sum of opposite interior angle is 180180 ° .

Angle CBA and angle CBE are linear pair so their sum is 180°

∠CBACBA ++ ∠CBE=180CBE=180 ° and ∠CBE=130CBE=130 °

∠CBA=180-130=50CBA=180−130=50 °

Now in cyclic quadrilateral , x+50x+50 °=180=180 °

So, x=180-50=130x=180−50=130 °

The value of x is 130°