Question

side AB of a cyclic quadrilateral ABCD is produced to a point E , if angle ADC=110 then angle CBE IS​

Answer 1

Answer:

CBE = 70

Step-by-step explanation:

Opposite Side of Quadrilateral

Answer 2

side AB of a cyclic quadrilateral ABCD is produced to a point E , if angle ADC=110 then angle CBE IS​

Consider the figure while going through the following steps:

Given,

∠ ADC = 110°

We know that, the sum of opposite angles of a cyclic quadrilateral is 180°

∴ ∠ ADC + ∠ ABC = 180°

110° + ∠ ABC = 180°

∠ ABC = 180° - 110°

∴ ∠ ABC = 70°

Now consider ∠ ABE

from figure it's clear that, ABE is a straight line.

∠ ABE = ∠ ABC + ∠ CBE

180° = 70° + ∠ CBE

180° - 70° = ∠ CBE

∴ ∠ CBE = 110°