Question

Find the value of x

Answer 1

Answer:

x=3

Step-by-step explanation:

Angles and Lines

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°:

$m\angle R=180-25x-(57+x)$

From the line SQ, angle R what it takes to get to 180°. Thus:

$m\angle R=180-45x$

Equating:

$180-25x-(57+x)=180-45x$

Subtracting 180 and simplifying:

$-25x-57-x=-45x$

$19x=57$

Dividing by 19:

x=3