Question

ABCD is a cyclic quadrilateral fi d the abgles og the cyclic quadrilateral​

Answer 1

Answer:

I don't know

Step-by-step explanation:

hope it helps

Answer 2

Answer:

The sum of the opposite angles in cyclic quadrilateral is 180  ∘

 

∴∠A+∠C=180∘

 

⇒4y+20−4x=180

⇒4y−4x=180−20

⇒4y−4x=160  

⇒x−y=−40_______ (i)

∠B+∠D=180∘

 

⇒3y−5−7x+5=180

⇒−7x+3y=180_______ (ii)

Multiplying equation (i) by 3, we obtain

⇒3x−3y=−120_______ (iii)

Adding equations (ii) and (iii), we obtain

⇒−7x+3x=180−120

⇒−4x=60

⇒x=−15

By using equation (i), we obtain

⇒x−y=−40

⇒−15−y=−40

⇒y=−15+40=25

∠A=4y+20=4×25+20=120∘

 

∠B=3y−5=3×25−5=70 ∘

 

∠C=−4x=−4×−15=60∘

 

∠D=−7x+5=−7×−15+5=110∘