Question

8. In a quad. ABCD, the bisectors of angle B and angle C meet at point L Show that angle A+angle D =2 angle CLB ​

Answer 1

Answer:

Proved

Step-by-step explanation:

Let Angle of A,B,C,D are measured to be A,B C, D respectively

Angle of CLB= L

Given that

½(B+C)+L=180 _______(1)

We know that In a Quadrilateral

A+B+C+D=360

=> ½{A+B+C+D}=180

=> ½(B+C)+½(A+D)=180

=> ½(B+C)+L+½(A+D)=180+L

USING ____(1)

=> 180+½(A+D)=180+L

=> ½(A+D)=L

=>A+D=2L

Proved

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