Question

2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. 4 angles are created. Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees. What is the value of x?

Answer 1

Answer:

x=20

Step-by-step explanation:

2 intersecting lines are shown: a line TW and a line SV intersect at point R.

Clockwise, from the top, the angles are:

• blank,
• 3x°,
• blank,
• (x + 40)°.

Fro mthe description, angels 3x° and (x+40)° are vertical angles (opposite when two lines intersect). Vertical angles are congruent, so

$3x=x+40\\ \\3x-x=40\\ \\2x=40\\ \\x=20$

Answer 2

Answer:

The value of x is 20°

Step-by-step explanation:

Consider the provided information.

2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R.  

Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees.

The required figure is shown below:

Four angles are formed when two straight lines overlap each other. The pair of angles are called vertically opposite angles on the opposite sides of the point of intersection.

Vertically opposite angles are always equal.

Thus ∠TRV=∠SRW

$3x=x+40$

$2x=40$

$x=20$

Hence, the value of x is 20°