Question

what is the value of x? x x + 32° x - 27° x =

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $x + 32=x+(x - 27)$.

Step2: Simplify the equation

Expand the right - hand side: $x + 32=x+x - 27$.
Combine like terms: $x+32 = 2x-27$.

Step3: Solve for x

Add 27 to both sides: $x+32 + 27=2x-27 + 27$, which gives $x + 59=2x$.
Subtract x from both sides: $x - x+59=2x - x$.

Answer:

$x = 59$