Question

1. find the value of x. x° 55° (4x - 5)°

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, $4x - 5=x + 55$.

Step2: Isolate the variable terms

Subtract $x$ from both sides of the equation: $(4x - x)-5=(x - x)+55$, which simplifies to $3x-5 = 55$.

Step3: Add 5 to both sides

$3x-5 + 5=55 + 5$, resulting in $3x=60$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{60}{3}$, so $x = 20$.

Answer:

20