Respuesta :

Note that angles c and d are supplementary. Hence, you have

[tex]c+d\text{ = 180}[/tex]

Note that a, b and c are the inner angles of a triangle. We will use the following fact: The sum of the inner angles of a triangle is 180°. Then

[tex]a+b+c=180[/tex]

If make this equations equal, we get

[tex]c+d=a+b+c[/tex]

If we cancel c out from both sides, we get

[tex]d=a+b[/tex]

so we should add angles a and b to get the value of angle d

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