In the figure, find x

Explanation

We will use the fact that the sum of the angle measures of any triangle is 180° to write an equation that models the situation. We can then solve the equation to find the unknown angle measure x

Sine the sum of the angle measures of any triangle is 180^o, we have

• The ∟symbol indicates that the measure of the angle is 90^o
  • \(x + 40^o + 90^o = 180^o\)
• Do the addition
  • \(x + 130^o = 180^o\)
• To isolate x, undo the addition of 130^o by subtracting 130^o from both sides.
  • \(x = 50^o\)

Thus, x is 50^o