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(d) problem 20: (first taught in lesson 16) three times an angle is equ…

Question

(d) problem 20: (first taught in lesson 16)
three times an angle is equal to its supplement. find the angle.
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Explanation:

Step1: Define the angle

Let the angle be $x$. Its supplement is $180 - x$.

Step2: Set up the equation

Given that three - times the angle is equal to its supplement, so $3x=180 - x$.

Step3: Solve the equation

Add $x$ to both sides: $3x + x=180 - x+x$, which simplifies to $4x = 180$. Then divide both sides by 4: $x=\frac{180}{4}=45$.

Answer:

$45$