Question

10. Find the value of 'x' and 'y' in the figure.​

Answer 1

Answer:

X = 50 degrees

Y = 100 degrees

Step-by-step explanation:

X and 130 degrees lie on the same plane which is 180 degrees so

$x = 180-130\\x = 50$

50 + 50 + supplementry angle of y = 180 according to Pythagoras theorem. So,

$100+supplement(y) = 180\\supplement(y) = 180-100\\supplement(y) = 80$

If supplement of y = 80 then y must be 180-80 = 100

Answer 2

According to linear angle sum property,

130 + x = 180

Transposing 130 to RHS

x = 180 - 130

x = 50

• Now,

According to angle sum property of triangle, all angles in triangle make 180. So,

• YPX + PQR + QRP = 180
• 50 + 50 + QRP = 180
• 100 + QRP = 180

Transposing 100 to RHS

• QRP = 180 - 100
• QRP = 80

Again,

According to linear angle sum property

• QRP + y = 180
• 80 + y = 180

Transposing 80 to RHS

• y = 180 - 80
• y = 100