QUESTION IMAGE
Question
12 fill in the blank 1 point find the value of x. (11x - 15)° (5x - 13)° x = type your answer...
Step1: Set up the equation
Since the two angles are supplementary (they form a straight - line and their sum is 180°), we have the equation $(11x - 15)+(5x - 13)=180$.
Step2: Combine like terms
$11x+5x-15 - 13 = 180$, which simplifies to $16x-28 = 180$.
Step3: Add 28 to both sides
$16x-28 + 28=180 + 28$, resulting in $16x=208$.
Step4: Solve for x
Divide both sides by 16: $x=\frac{208}{16}=13$.
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