Question

find x. 60° 104° x° x =

Explanation:

Step1: Find the adjacent angle of \(104^{\circ}\)

The adjacent angle of \(104^{\circ}\) is \(180^{\circ}- 104^{\circ}=76^{\circ}\)

Step2: Use the triangle angle - sum property

In a triangle, the sum of angles is \(180^{\circ}\). Let the third angle in the triangle be \(y\). Then \(y = 180^{\circ}-(60^{\circ}+76^{\circ})\)

$$y=180^{\circ}-136^{\circ}=44^{\circ}$$

Step3: Use the property of vertical angles

Since \(x\) and \(y\) are vertical angles, \(x = y\)

Answer:

\(44\)