Answer:
x = -6
Step-by-step explanation:
What are Vertical Angles?
Vertical angles are formed when two lines meet each other at a point. They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles. They are also referred to as 'Vertically opposite angles' as they lie opposite to each other.
- Since ∠1 and ∠3 are vertical angles it follows that
m∠1 = m∠3
- Substituting for these measures using given expressions and value gives
→ 2x + 26 = 14
- Subtract 26 from both sides;
→ 2x + 26 - 26 = 14 - 26
→ 2x = - 12
- Divide both sides by 2
→ 2x/x = -12/2
→ x = - 6
