Answer:
A.
x = 5
HE = 10
LP = 10
B.
y = 22
m∠E = 84
m∠P = 84
Step-by-step explanation:
A.
1.
Solution
HE ≅ LP
2x = x + 5
2x – x = 5
x = 5
2.
HE = 2x
HE = 2(5)
HE = 10
3.
LP = x + 5
LP = 5 + 5
LP = 10
B.
1.
Solution
m∠E ≅ m∠P
5y – 26 = 2y + 40
5y – 2y = 40 + 26
3y = 66
3y = 66
3 3
y = 22
2.
m∠E = 5y – 26
m∠E = 5(22) – 26
m∠E = 110 – 26
m∠E = 84
3.
m∠P = 2y + 40
m∠P = 2(22) + 40
m∠P = 44 + 40
m∠P = 84
Hope it's helps.
