The adjacent figure HOPE is a parallelogram. Find the angle
measures of x, y, and z. State the properties you use to find them.
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Answers
Answer:
Given :- HOPE is a parallelogram.
To find :- the values of x, y and z.
Solution :-
40° + z = 70° ( corresponding angles )
or, z = 70° - 40° = 30°
The value of z is 30°.
x = angle HOP ( opposite angles of a parallelogram are equal )
angle HOP = 180° - 70° ( Linear Pair )
angle HOP = 110°.
The value of x is 110°.
y = angle EHP ( alternate interior angles )
y = 40°.
The value of y is 40°.
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Answer:
POH=180-70 (sum of linear pair)
=110
POH=PEH =110(rule of parallelogram)
EHO=EPO=a(rule of parallelogram)
POH+PEH+EHO+EPO=360(rule of parallelogram)
110+110+a+a=360
220+2a =360
2a =360-220
a. =140/2
a. =70
EHP+PHO=EHO(linear pair)
40+z. =70
z. =30
y=40(alternate angle)
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