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4. solving with algebra: so

Question

  1. solving with algebra: so

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of angles on a straight - line is 180°. So, for the angles 84° and (x + 24)°, we have the equation 84+(x + 24)=180.

Step2: Simplify the left - hand side of the equation

First, combine like terms: 84+x + 24=x+108. So the equation becomes x + 108=180.

Step3: Solve for x

Subtract 108 from both sides of the equation: x=180 - 108.
x = 72

Answer:

72