Question

Vertical angles [2(x+10)] degrees and (3x-30) degrees, what is the value of x?

Answer 1

because Vertical angles so both are equal
so

2(x+10) = 3x-30
2x + 20 = 3x - 30
3x - 2x = 20 + 30
x = 50

Answer 2

Value of x = 50

Explanation:

We are given the following information in the question:

We are given a pair of vertically opposite angle:

`(2(x+10))^\circ \text{ and }(3x-30)^\circ`

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:

`(2(x+10))=(3x-30)\\2x + 20 = 3x -30\\3x-2x = 20 + 30\\x = 50`

Hence, value of x = 50

Measure of angles = 2(50 + 10) = (150 - 30) = 120°