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question 2/25 directions - create an equation and solve for x for the d…

Question

question 2/25 directions - create an equation and solve for x for the diagram: 30 x triangle sum equation = x = degrees

Explanation:

Step1: Recall triangle - sum property

The sum of the interior angles of a triangle is 180 degrees. In a right - triangle, one angle is 90 degrees and another is given as 30 degrees, and the third is x. So the equation is $90 + 30+x=180$.

Step2: Simplify the left - hand side

$90 + 30=120$, so the equation becomes $120 + x=180$.

Step3: Solve for x

Subtract 120 from both sides of the equation: $x=180 - 120$.

Answer:

$x = 60$ degrees