Question

in each of the following figures AN//CD. Find the value of X in each case​

Answer 1

Step-by-step explanation:

AN ll CD

bisect the angle x° into two parts p and q such that it parallel to AN and CD

BE II AN ll CD

Now ,

x°=p°+q°

AN II BE

angle A + angle p= 180° (co int. angle)

104° + p° = 180°

p° = 180° - 104°

p° = 76°

CD ll BE

angle C + angle q= 180° (co int. angle)

116° + q° = 180°

q° = 180°-116°

q° = 64°

Hence x° = p° + q°

x° = 76°+64°

x° = 140°