in the figure below, (lparallel m). find (x).
in the figure below, (lparallel m). find (x).
Answer
Explanation:
Step1: Find the alternate - interior angle
Since (l\parallel m), the alternate - interior angle to the (120^{\circ}) angle is also (120^{\circ}).
Step2: Use the angle - sum property of a triangle
The sum of the interior angles of a triangle is (180^{\circ}). In the triangle formed, we know one angle is (65^{\circ}) and another is (120^{\circ}). Let the third angle be (x). So, (x + 65+120 = 180).
Step3: Solve for (x)
[ \begin{align*} x&=180-(120 + 65)\ x&=180 - 185\ x&=55 \end{align*} ]
Answer:
(55)