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Answers
Answer:
X+y+z = 180° cause when three sides of triangle are added it's always 180°
Step-by-step explanation:
we, know-
sum of two interior opposite angles of triangle=to the exterior angle of the triangle,,
:. angle y = 60° + 40°
= 100°
and also,
angle y+ 80° = 180°(straight angle)
=> angle y = 180°-80°
=> angle y = 100°
Now,
:. angle x = 40°+80°
= 120°
and also,
angle x+ 60° = 180°(straight angle)
=> angle x = 180°-60°
=> angle x = 120°
Now,
:. angle z = 60° + 80°
= 140°
and also,
angle z+ 40° = 180°(straight angle)
=> angle z = 180°-40°
=> angle z = 140°
so, the measures of the angles x,y & z by using the given figure are-
angle x = 120°
,, y= 100°
,, z = 140°
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