Answer:
m = 5
p = 10
Step-by-step explanation:
Part A
The dashes on the lines mean that the lines are equal in length.
Therefore, IJ = IH and HK = KJ
So as IJ = IH
⇒ 10 = 2m
⇒ m = 10 ÷ 2
⇒ m = 5
Part B
The line IK is the bisector of angle I since IJ = IH and HK = KJ
Therefore, 2p - 5 = p + 5
subtract p from both sides:
⇒ 2p - 5 - p = p + 5 - p
⇒ p - 5 = 5
Add 5 to both sides:
⇒ p - 5 + 5 = 5 + 5
⇒ p = 10
