Question

Sabendo que P está nas bissetrizes do ângulo A e do ângulo B, determine x.​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\widehat A = 45\textdegree + 45\textdegree = 90\textdegree}$

$\mathsf{\dfrac{\widehat B}{2} = 180\textdegree - 80\textdegree - 45\textdegree = 55\textdegree}$

$\mathsf{\widehat B = 110\textdegree}$

$\mathsf{\widehat C = 90\textdegree}$

$\mathsf{\widehat D = 360\textdegree - \widehat A - \widehat B - \widehat C}$

$\mathsf{\widehat D = 360\textdegree - 90\textdegree - 110\textdegree - 90\textdegree}$

$\mathsf{\widehat D = 70\textdegree}$

$\mathsf{\widehat X = 180\textdegree - \widehat D}$

$\mathsf{\widehat X = 180\textdegree - 70\textdegree}$

$\boxed{\boxed{\mathsf{\widehat X = 110\textdegree}}}$