Question

problem 18: find x. (first taught in lesson 30) after you enter your answer press go. x =

Explanation:

Step1: Find the alternate - interior angle

The alternate - interior angle to the $100^{\circ}$ angle is also $100^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of angles in a triangle is $180^{\circ}$. In the triangle with angles $x^{\circ}$, $45^{\circ}$ and the $100^{\circ}$ alternate - interior angle, we have $x+45 + 100=180$.

Step3: Solve for $x$

$x=180-(100 + 45)=180 - 145=55$.

Answer:

$x = 55$