Answer:
y = 80°
x = 25
Explanation:
I am not familiar with the stinky shoe method but here is how to do it
Q13 Value of y
y and 100° are on the same straight line and therefore they are supplementary angles
That means that they add up to 180°
That means y + 100° = 180°
Subtracting 100 from either side gives
y = 180 - 100 = 80°
Q14 Value of 4
The picture is not very clear but I believe the third angle is given by the expression 2x + 10
There are two ways to find this third angle:
(a) The sum of the two opposite interior angles of a triangle = exterior angle
Here the exterior angle = 100° and the two opposite interior angles are 40° and (2x + 10)°
So 40 + (2x + 10) = 100
Subtract 40 from both sides:
2x + 10 = 100- 40
2x + 10 = 60
So the third angle = 60°
2x + 10 = 60
2x = 60 - 10
2x = 50
Divide both sides by 2 to get
x = 50/2
x = 25
(b)
The sum of the three angles of a triangle must add up to 180°
The three angles are 40°°, 80° and (2x + 10)°
Therefore 40 + 80 + (2x + 10) = 180
120 + 2x + 10 = 180
2x + 130 = 150
2x = 180 - 130
2x = 50 as before
x = 25
Both methods are equivalent