potato78 potato78
  • 14-01-2019
  • Mathematics
contestada

Apply what you know about triangles to find the missing angle measures in the figure.

Apply what you know about triangles to find the missing angle measures in the figure class=

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parmesanchilliwack parmesanchilliwack
  • 23-01-2019

Answer:

Since, by the definition of exterior angle of an triangle,

b + 60° = 125°

⇒ b = 65°

By the angle sum property of triangle,

a + b + 60° = 180°

⇒ a + 65° + 60° = 180°

⇒ a + 125° = 180°

⇒ a = 55°

By the linear angle postulate,

60° + d + 90° = 180°

d + 150° = 180°

d = 30°

Again, by the angle sum property of triangle,

c + d + 90° = 180°

c + 30° + 90° = 180°

c + 120° = 180°

c = 60°


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