Question

find the measure of the indicated angles. supplementary angles with measures 4x - 5 and 11x - 55 the angles are . (simplify your answer. type an integer or a fraction. type your answer in degrees. do not include the degree symbol in your answer. use a comma to separate answers as needed.)

Explanation:

Step1: Set up equation for supplementary angles

Supplementary angles sum to 180. So, $(4x - 5)+(11x - 55)=180$.

Step2: Combine like - terms

$4x+11x-5 - 55 = 180$, which simplifies to $15x-60 = 180$.

Step3: Add 60 to both sides

$15x=180 + 60$, so $15x=240$.

Step4: Solve for x

$x=\frac{240}{15}=16$.

Step5: Find the measure of the first angle

Substitute $x = 16$ into $4x - 5$. We get $4\times16-5=64 - 5=59$.

Step6: Find the measure of the second angle

Substitute $x = 16$ into $11x - 55$. We get $11\times16-55=176 - 55 = 121$.

Answer:

59,121