Answer:
Value of x = 50
Step-by-step explanation:
We are given the following information in the question:
We are given a pair of vertically opposite angle:
[tex](2(x+10))^\circ \text{ and }(3x-30)^\circ[/tex]
Vertically opposite angles:
- When two lines intersect they form two pairs of opposite angles.
- Another word for opposite angles are vertical angles.
- Vertical angles are always congruent, which means that they are equal.
Thus, we can write:
[tex](2(x+10))=(3x-30)\\2x + 20 = 3x -30\\3x-2x = 20 + 30\\x = 50[/tex]
Hence, value of x = 50
Measure of angles = 2(50 + 10) = (150 - 30) = 120°
