Question

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

Answer 1

Given the quadrilateral:

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

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

Finally, the measures of the two angles are:

$\begin{gathered} 6k=30\degree \\ 7k=35\degree \end{gathered}$