Answer:
Step-by-step explanation:
Let's label the 4 corners of the parallelogram in i) as A,B,C,D respectively, which A is the bottom left corner, and it goes anticlockwise from B,C,D.
i) In a parallelogram, the side that is opposite of it is parallel to it.
=> AD is parallel to BC and CD is parallel to AB
=> Angle E is alternate to the 63 angle, and AD // BC, so E = 63
Now, 3 angles in a triangle add up to 180, and there are 2 angles which are 78 and 63, so the third one must be : 180 - 78 - 63 = 39
=> Angle F is alternate to the third corner that we just found out (39), and AB//CD so F = 39
ii) M is the orthocentre, as there are 2 altitudes that intersect at M.
=> MU = MR = MO = MP
In triangle MUO and MFR, we have :
MU = MF
Opposite corners (OMU and RMF)
MO = MR
=> Triangle MUO = Triangle MFR
=> RM (or h) = MO and RF (or g) = UO
=> h = 14cm and g = 16 cm.
Hope it helps :)
