alexia9825 alexia9825
  • 16-09-2022
  • Mathematics
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Find B if A=70° and a + b = 80°

Find B if A70 and a b 80 class=

Respuesta :

Nayefx
Nayefx Nayefx
  • 16-09-2022

Answer:

B=30°

Step-by-step explanation:

Recall that the sum of interior angles of a triangle equals to 180°. So basically

[tex]A+B+\alpha+\beta=180^{\circ}[/tex]

[tex] \implies B + {70}^{ \circ} + {80}^{ \circ} = {180}^{ \circ} \\ \implies B = {180}^{ \circ} - {150}^{ \circ} \\ \implies B = \boxed{{30}^{ \circ} }[/tex]

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