Question

Find the value of x and y.

Answer 1

Answer:

25+72+z =180

97+z= 180

z= 83

then z+y=180

83+y=180

Y=97

y+40+e=180

97+40+e=180

e=43

e+x= 180

43+x= 180

x=137

Answer 2

Answer:

Step-by-step explanation:

⇒ 72° + y = 180° (Linear pair)

⇒ y = 180° - 72°

⇒ y = 108°

Now for first to find x, we need to find the third angle of the right triangle:

Let the third angle be a.

Now,

⇒ a + y + 40° = 180° (Angle sum property) (1)

⇒ a + 108° + 40° = 180° (From 1)

⇒ a + 148° = 180°

⇒ a = 180° - 148°

⇒ a = 32°

Now we can find x:

x + a = 180° (1)

x + 32° = 180° ( linear pair ) ( From 1)

x = 180° - 32°

x = 148°