Answer:
<em>x=3</em>
Step-by-step explanation:
<u>Angles and Lines</u>
We must recall:
- The sum of the internal angles of a triangle is 180°
- Two linear angles add up to 180°
The image shows a triangle and the extension of its base to form two linear angles.
Note from the triangle, angle R is what it takes to get to 180°:
From the line SQ, angle R what it takes to get to 180°. Thus:
Equating:
Subtracting 180 and simplifying:
Dividing by 19:
x=3