Question

Find the missing angles x and y​

Answer 1

Answer:

x=70

y=60

Step-by-step explanation:

120= 50+x ... remote interior angle theorem

x=120-50

x=70

x+y+50= 180

70+y+50=180

120+y=180

y=180-120

y=60

Answer 2

$\large\boxed{\rm{\pink{y~=~60°}}}$

y + 120 = 180

$\red{\longrightarrow}$ $\mathrm\blue{Linear ~Pair~ makes ~180°}$

∴ y = 180 - 120 = 60

$\large\boxed{\rm{\pink{x~=~70°}}}$

50 + y + x = 180

$\red{\longrightarrow}$ $\mathrm\blue{Angle~ Sum ~Property ~of~ ∆}$

We know y = 60

So, 50 + 60 + y = 180

y = 180 - (50+60)

∴ y = 180 - 110 = 70