Question

solve for x.
11)
12)

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up equation for problem 11

For the first triangle, we have the equation \((x + 8)+135 + 25=180\).
Simplify the left - hand side: \(x+8 + 160=180\), then \(x+168 = 180\).
Subtract 168 from both sides: \(x=180 - 168\), so \(x = 12\).

Step3: Set up equation for problem 12

For the second triangle, we have the equation \((x + 25)+135+25 = 180\).
Simplify the left - hand side: \(x+25+160 = 180\), then \(x + 185=180\).
Subtract 185 from both sides: \(x=180 - 185\), so \(x=-5\).

Answer:

1. \(x = 12\)
2. \(x=-5\)