A quadrilateral has two angles that measure 145° and 150°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?° and °Submit

A quadrilateral has two angles that measure 145 and 150 The other two angles are in a ratio of 67 What are the measures of those two angles and Submit class=

Respuesta :

Given the quadrilateral:

The sum of the internal angles of a quadrilateral is 360°:

[tex]\begin{gathered} 150\degree+145\degree+6k+7k=360\degree \\ \\ 295\degree+13k=360\degree \\ \\ 13k=65\degree \\ \\ \Rightarrow k=5\degree \end{gathered}[/tex]

Finally, the measures of the two angles are:

[tex]\begin{gathered} 6k=30\degree \\ 7k=35\degree \end{gathered}[/tex]

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