Question

Two angles are vertical angles. One angle is labeled 2xdegrees. The other angle is labeled (x + 30) degrees. Find the value of x.

Answer 1

Answer:

The value of x  = 30°

Step-by-step explanation:

The value of first angle  = ( 2 x)

The value of the second angle  =  ( x + 30)

Now, the given angles are VERTICAL ANGLES.

Also, by the definition, the VERTICAL ANGLES ARE CONGRUENT.

So, First Angle  = Second Angle

⇒ (2 x ) = ( x + 30 )

or, 2 x  -  x = 30

⇒ x  = 30

Hence, the value of x  = 30°.