Given:
The measures of the angles of a triangle are in the extended ratio 5:6:7.
Required:
We need to find the largest angle.
Explanation:
The measure of angles are 5x, 6x, and 7x.
We know that the sum of all three angles is 180 degrees.
[tex]5x+6x+7x=180\degree[/tex][tex]18x=180\degree[/tex]
Divide both sides by 18.
[tex]\frac{18x}{18}=\frac{180\degree}{18}[/tex][tex]x=10\degree[/tex]
The largest angle is 7x since 7 is larger than 5 anf 6.
[tex]7x=7\times10=70\degree[/tex]
The largest angle is 70 degrees,
Final answer:
The measure of the largest angle is 70 degrees,
