The figure HOPE is a parallelogram. Find the angle measure x,y, and z. State the properties you use to find the.
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i)Angle y=40°. (alternate int. angles.)
Let angle POH be angle 1
angle 1+70° =180° (Linear pair)
angle 1=180-70=110°
Angle 1+y+z=180° (Angle Sum Property of Triangle)
110 +40+z=180
150+z=180
z=180-150=30°
iii) 40+z+x=180 (co-interior angles)
40+30+x=180
70+x=180
x=180-70=110°
therefore x=110,y=40,z=30
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Let angle POH be angle 1
angle 1+70° =180° (Linear pair)
angle 1=180-70=110°
Angle 1+y+z=180° (Angle Sum Property of Triangle)
110 +40+z=180
150+z=180
z=180-150=30°
iii) 40+z+x=180 (co-interior angles)
40+30+x=180
70+x=180
x=180-70=110°
therefore x=110,y=40,z=30
pls mark as brainliest.
vam2003:
pls mark as brainliest.
Answered by
5
angle o inside parallelogram = 180-70=110 degree(supplementary angles)
angle x=angle o=110 degree (opposite angle of ||gm are equal)
angle y =40 degree (alternate interior angles are equal)
angle H= 70 degree (corresponding angles are equal)
Angle H=40 degree + angle z=70 degree
angle z= 70 degree - 40 degree
angle z =30 degree
angle x =110
angle y =40
angle z=30 degree
angle x=angle o=110 degree (opposite angle of ||gm are equal)
angle y =40 degree (alternate interior angles are equal)
angle H= 70 degree (corresponding angles are equal)
Angle H=40 degree + angle z=70 degree
angle z= 70 degree - 40 degree
angle z =30 degree
angle x =110
angle y =40
angle z=30 degree
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