Question

find the letters angles​

Answer 1

Answer:

Hey mate, here is your answer

Step-by-step explanation:

i)

y+120°= 180°      (Linear pair)

y= 180°-120°

y= 60°

x= 40°+60°        (Exterior angle property)

x= 100°

ii)

z+100°+50°= 180°    (Angle Sum property)

z= 180°-150°

z= 30°

y+100°= 180°           (Linear Pair)

y= 180°-100°

y= 80°

x+80°+75°= 180    (Angle sum preoperty)

x= 180°-155°

x= 25°

Answer 2

Step-by-step explanation:

(i) y= y+120⁰=180⁰

=>y=180⁰-120⁰

=> y=60⁰

For finding x first we have to find the other angle that is in the side of x means the C one angle is x and let's other angle as angle 1

Angle 1 = 40⁰+y+angle 1=180⁰

=>40⁰+60⁰+ angle 1=180⁰

=>angle 1 =180⁰-(60⁰+40⁰)

=> angle 1=180⁰-100⁰

=> angle 1=80⁰

So, x= angle 1+x=180⁰

=> 80⁰+x=180⁰

=>x=180⁰-80⁰

=> x=100⁰

(ii) y=y+100⁰=180⁰

=> y=180⁰-100⁰

=> y=80⁰

Let's divide this figure into ABC and ABP

First we will find the angle of ABC= y+x+75⁰=180⁰

=> 80⁰+x+75⁰=180⁰

=> x=180-(80⁰+75⁰)

=> x=180⁰-155⁰

=> x=25⁰

Now we will find the angle of ABP=100⁰+z+50⁰=180⁰

=> z=180⁰-(50⁰+100⁰)

=> z=180⁰-150⁰

=> z=30⁰

HOPE IT HELP U