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What are the measures of Angles a, b, and c? Show your work and explain your answers.
400
a
650

What Are The Measures Of Angles A B And C Show Your Work And Explain Your Answers 400 A 650 class=

Sagot :

Answer:

Step-by-step explanation:

angle a=40 degree (being vertically angles)

angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)

40 +90 +angle b=180

130 + angle b=180

angle b=180-130

angle b =50 degree

vrtically opposite of angle b

vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)

40 degree + missing angle=65

missing angle=65-40

missing angle=25 degree

angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)

angle c +50 +25 =180

angle c+75=180

angle c=180-75

angle c=105 degree