Question

a side of the triangle below has been extended to form an exterior angle of 165°
find the value of $x$.
answer attempt 2 out of 2
$x = \square$

Explanation:

Step1: Find adjacent interior angle

The exterior angle and its adjacent interior angle are supplementary, so:
$180^\circ - 165^\circ = 15^\circ$

Step2: Sum of triangle angles is $180^\circ$

Let the unknown angle be $x$. Use the angle sum property:
$x + 119^\circ + 15^\circ = 180^\circ$

Step3: Solve for $x$

Calculate the sum and isolate $x$:
$x = 180^\circ - 119^\circ - 15^\circ$
$x = 46^\circ$

Answer:

$46$