Question

Answer the following questions

Answer 1

Answer:

10.( i)w=75⁰ ABllCD, corresponding angle property

(ii)x=75⁰ vertical opposite angle property

(iii)75⁰+45⁰+y=180⁰ linear pair

120⁰+y=180⁰

y=60⁰

12.LCBF =180⁰-100⁰=80⁰

we know that,

sum of all angles of triangle is 180⁰

in∆BCF

LBFC+80⁰+70⁰=180

LBFC=180⁰-150⁰

LBFC=30⁰

x⁰=30⁰ ,PQllBF alternate interior angles property

extend line SR

y⁰=100⁰ corresponding angle property

13.x⁰+56⁰=90⁰(given)

x⁰=34⁰

90⁰+34⁰+y⁰=180⁰ linear pair

124⁰+y⁰=180⁰

y⁰=180⁰-124⁰

y⁰=56⁰