Question

what is the value of x? x + 27° x - 50° x - 28° 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, $x + 27=(x - 28)+(x - 50)$.

Step2: Simplify the right - hand side

$(x - 28)+(x - 50)=x+x-28 - 50=2x-78$. So the equation becomes $x + 27=2x-78$.

Step3: Solve for x

Subtract x from both sides: $x - x+27=2x - x-78$, which gives $27=x - 78$. Then add 78 to both sides: $27 + 78=x$, so $x = 105$.

Answer:

$105$