Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.



x = 
x = 9
Similarly, 
y = 
y = 6
Answer:
Corresponding angles theorem.
Step-by-step explanation:
The corresponding angles theorem states that corresponding angles are congruent.
Pretty much means that every other angle is congruent if two lines are parallel and a line traverses them.
Answer:
He weighs 240 pounds
Step-by-step explanation:
Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°