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Please help me to find the missing angle measures given 3 variables of an each scalene triangle.


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Sagot :

Answer:

Theories used

Angles on a straight line will always add up to 180°

The sum of interior angles in a triangle is 180°

Question 7

a + 134° = 180°

⇒ a = 180° - 134°

a = 46°

b + 119° = 180°

⇒ b = 180° - 119°

b = 61°

a + b + c = 180°

⇒ 46° + 61° + c = 180°

⇒ c = 180° - 46° - 61°

c = 73°

Question 8

r + 126° = 180°

⇒ r = 180° - 126°

r = 54°

s + 145° = 180°

⇒ s = 180° - 145°

s = 35°

r + s + t = 180°

⇒ 54° + 35° + t = 180°

⇒ t = 180° - 54° - 35°

t = 91°

#7

  • a=180-134=46°
  • b=180-119=61°

c=

  • 180-(46+61)
  • 180-107
  • 73°

#8

  • r=180-126=54°
  • s=180-145=35°
  • t=180-(54+35)=180-89=91°
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