Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
Answer:
153.86
Step-by-step explanation:
3.14(7)^2
3.14 × (7 × 7)
3.14 × 49
153.86
A straight line is 180 degrees:
25x + 8 + 9x + 2 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34:
X = 5
Now solve the smaller angle:
9x + 2 = 9(5) + 2 = 45 + 2 = 47
They angle with the y is a vertical angle to 47 so needs to also equal 47:
7y + 5 = 47
Subtract 5 from both sides:
7y = 42
Divide both sides by 7:
Y = 6
Answer: x = 5, y = 6