Question

in each of the following find unknown marked angle give reasons ​

Answer 1

(i)

180°-108°= 72°

180°-116°= 64°

64°+72°+x=180°....(Sum of all interior angle of a triangle is 180°)

x= 180°-136°

$\boxed{x = 44°}$

_______________________________

(ii)

180°-112°= 68°

68°+x= 120° (Sum of interior angle of triangle is equal to the value of the exterior opposite angle)

x= 120°-68°

$\boxed{x = 52°}$

_______________________________

(iii)

40° = y ..... (Alternate interior angle)

40°+85°=x .....(Sum of interior angle of triangle is equal to the value of the exterior opposite angle)

$\boxed{x = 125°}$

Answer 2

Step-by-step explanation:

i) (180⁰-108⁰)+(180⁰-116⁰)+X=180⁰

solve it next

ii) (180⁰-120⁰)+(180⁰-112⁰)+X=180⁰

solve it next

iii) y=40⁰

X=180⁰- (180⁰-85⁰-40⁰)