Question

find the value of x.
(there is a triangle with angles 34°, 101°, and x°; and a box with x = blank)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is $180^\circ$.

Step2: Set up the equation

Let the angles be $34^\circ$, $101^\circ$, and $x^\circ$. So, $34 + 101 + x = 180$.

Step3: Solve for x

First, calculate $34 + 101 = 135$. Then, $x = 180 - 135 = 45$.

Answer:

$x = 45$