Question

find x and y in the figure​

Answer 1

Answer:

x=80° and y=75°

Step-by-step explanation:

in triangle ABC

180-(50+30)=180-80=100°

as the linear pair rule

straight line = 180°

so x = 180-100=80°

as x = 80°

180-(80+45)=180-125=55°

y = 180-(55+50)= 180-105=75°

hope this helps you mate pls give a thanks and mark my answer as the brainliest

Answer 2

Step-by-step explanation:

in ∆ABC

<ABC + <BAC + <ACB = 180°

30° + 50° + <ACB = 180° {Angle sum property}

<ACB = 180°-80°

<ACB = 100°

<ACB + x = 180° { linear pair}

100° + x = 180°

x = 80°

Now in ∆ ACD,

<CAD + x + <ADC = 180° {angle sum property}

<CAD + 80° + 45° = 180°

<CAD = 180° - 125°

<CAD = 55°

as, EB is a line so, the angles in a line form 180°.

so,<BAC + <CAD + y = 180°

50° + 55° + y = 180°

105° + y = 180°

y = 180°-105°

y = 75°

hope it helps::::)