Ok what do we know.
when the kettle is full its 2900g
when its half full is 2050g
that means that half the weight of water in the kettle was 850g so the other remaining half has to be 850g
850+850=1700
1700g is the weight of the water
but we want to know the weight of the kettle when its empty so you had 2900g when the kettle was full lets say you poured all 1700g of the water out you would be left with...
2900-1700= 1200g
this means the kettle when empty weighs 1200g
Start by finding x. Look at the second parallel line; you have a straight line that is made up of a 90 degree angle, 2x, and x.
Since a straight line is 180 degrees, and you know a part of it is already 90 degrees, you can make 2x and x add up to 90 degrees.
2x + x = 90, combine like terms.
3x = 90, divide both sides by 3.
x = 30
Find y next. 2y and x are on opposite sides of the transversal and make a Z shape, so they must be alternate interior angles. The alternate interior angle theorem states that these types of angles are congruent.
We know what x is, 30 degrees, so make 2y and x equal to each other.
2y = 30, divide both sides by 2.
y = 15
Find z. Same thing as the bottom parallel line; 2y and z make up the straight line so they must add up to 180 degrees. We found y was 15, so multiply y by 2. y = 30, so make 30 + z add up to 180 degrees.
30 + z = 180, subtract 30 from both sides.
x = 150