Respuesta :
Hello!
First, we must remember that the sum of the four internal angles of a quadrilateral must be 360º.
Knowing it, let's analyze your exercise:
Notice that we already know two angles:
[tex]300º+25º=325º[/tex]So, we can discover how many angles are left to complete 360º, look:
[tex]360º-325º=35º[/tex]I will call the missing angles A and B, okay?
At this moment, we know that:
[tex]A+B=35\degree[/tex]The exercise informs us that these angles are in a ratio of 3:4. We can write it as:
[tex]\begin{gathered} 3x+4x=35 \\ 7x=35 \\ x=\frac{35}{7} \\ x=5 \end{gathered}[/tex]As we know the value of X, we can obtain the missing angles:
[tex]\begin{gathered} A=3\cdot x \\ A=3\cdot5 \\ A=15 \\ \\ B=4\cdot x \\ B=4\cdot5 \\ B=20 \end{gathered}[/tex]What are the measures of those two angles?Answer: 15 and 20.
