Since l || m,
x = 40° [ Alternate Interior Angles ]
x + y = 105° [ Exterior Angle Property of a Triangle]
40 + y = 105°
y = 105 - 40
y = 65°
x + y + z = 180° [ Angles on a Straight line]
40 + 65 + z = 180
105 + z = 180
z = 180 - 105
z = 75°
ANSWER
Z=75°
x=40°
y=65°
Step-by-step explanation:
z = 180 - 105 = 75°
y= 180 - 115 = 65°
x =105 - 65 = 40°
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Answers & Comments
Since l || m,
x = 40° [ Alternate Interior Angles ]
x + y = 105° [ Exterior Angle Property of a Triangle]
40 + y = 105°
y = 105 - 40
y = 65°
x + y + z = 180° [ Angles on a Straight line]
40 + 65 + z = 180
105 + z = 180
z = 180 - 105
z = 75°
ANSWER
Z=75°
x=40°
y=65°
Step-by-step explanation:
z = 180 - 105 = 75°
y= 180 - 115 = 65°
x =105 - 65 = 40°