Question

ABCD is a cyclic quadrilateral if angle A is equals to 110 degree and Angle B is equals to 60 degree find the value of Angle B + angle C

Answer 1

Answer:

Step-by-step explanation:

From given A angle 110

Answer 2

Given :

ABCD is cyclic quadrilateral

The measure of ∠ A = 110°

The measure of ∠ B = 60°

To Find :

The sum of ∠ B and ∠ C

Solution :

From The property of cyclic quadrilateral , The sum of opposite angles = 180°

i.e  ∠ A +  ∠ C = 180°                ............1

And

∠ B +  ∠ D = 180°                    ...........2

Now,

∵ ∠ A = 110°

So, From eq 1

∠ A +  ∠ C = 180°  

Or,   ∠ C = 180° - 110°  

∴     ∠ C = 70°

So, The measure of angle C = ∠ C = 70°

Again,

The sum of ∠ B and ∠ C = ∠ B + ∠ C

                                         = 60° + 70°

                                         = 130°

Hence, The sum of ∠ B and ∠ C is 130°    . Answer