Answer:
x = 2
(10x)° = 20°
Step-by-step explanation:
(NOTE: The complete instructions are not shown. Only the given 10x and 18 + x. But based on your illustration, the given degree expressions are measurements of vertical angles or opposite angles formed by intersecting lines.)
Theorem: Vertical angles are congruent (measurements are equal).
The equation is:
10x = 18 + x
Solve for x:
10x - x = 18
9x = 18
9x/9 = 19/9
x = 2
To find the measure of each congruent angle, substitute 2 to x:
First angle:
(10x)° ⇒ [10(2)]° = 20°
Second angle:
(18 + x)° ⇒ (18 + 2)° = 20°
Since vertical angles are congruent, they have the same measurement of 20°.
