Question

find the measure of each angle in the triangle. r 15x 6x f 15x o

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180 degrees. So, $15x + 15x+6x = 180$.

Step2: Combine like - terms

$(15 + 15+6)x=180$, which simplifies to $36x = 180$.

Step3: Solve for x

Divide both sides of the equation $36x = 180$ by 36. So, $x=\frac{180}{36}=5$.

Step4: Find the measure of each angle

For angle $R$ and angle $O$: Substitute $x = 5$ into $15x$. We get $15\times5 = 75$ degrees.
For angle $F$: Substitute $x = 5$ into $6x$. We get $6\times5 = 30$ degrees.

Answer:

Angle $R = 75$ degrees, Angle $O = 75$ degrees, Angle $F = 30$ degrees