Question

the diagram shows a triangle. what is the value of s? s = □°

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, we set up the equation $(s + 42)+20s+48s=180$.

Step2: Combine like - terms

Combining the terms with $s$ on the left - hand side, we get $(1 + 20+48)s+42 = 180$, which simplifies to $69s+42 = 180$.

Step3: Isolate the term with $s$

Subtract 42 from both sides of the equation: $69s=180 - 42$, so $69s=138$.

Step4: Solve for $s$

Divide both sides by 69: $s=\frac{138}{69}$, and $s = 2$.

Answer:

$2$