Find the values of x and y in the following shape.
Answers
Answer:
Final value for x= 120° and y=60°
Step-by-step explanation:
As the figure contains a hexagon we will apply the Angle sum property.
The sum of interior angles of a hexagon is 720°
Also, the angle for a straight line is 180°
So from the figure, we get the following equations:
x + y=180° (1)
30° + 30° + z = 180° (We will assume the unnamed angle to be z)
z=180°-60°
z= 120°
Now from angle sum property,
90° + 150° + z+ x +x +x =720°
240°+120°+3x=720°
360° + 3x= 720°
3x =720° - 360°
x=360°/3
So, x= 120°
Putting value of x in equation (1),
x+y = 180°
120° + y=180°
So, y will be 60°
∴ Final value for x= 120° and y=60°
Answer:
The value for x is 120° and y is 60°
Step-by-step explanation:
In context to the question ;
we have to find value of x and y
for the given hexagon and straight line
now,
we know the the sum of interior angle of any polygon = (n -2)180°
where n is the number of sides
we know there are 6 sides in hexagon
∴ (6-2)180° = 4 x 180° = 720°
It means the sum of interior angle of hexagon must be 720°
let the unknown angle of hexagon be "m"
m = 120° ( as it lies on a straight line with 30° each side)
now,
sum of interior angle of hexagon = 720°
acc to the figure;
x + x+90°+ 150° + x+ m = 720 °
3x +240° + 120°= 720°
3x + 360° = 720°
3x = 720°- 360°
3x = 360°
x = 120°
Now for y;
we know y lies on straight line
x + y = 180°
120° + y = 180°
y = 180° - 120°
y = 60°
THE VALUE OF X AND Y = 120° AND 60°