Opposite Vertical Angles

Q. If one of the four angles formed by two intersecting lines is a right angle, then each of the four angles is a right angle.
This statement is (True/False).

Q. Vertical angles are always

1. congruent
2. equal in measure
3. located opposite to each other
4. located adjacent to each other

Q.
For the diagram above, choose the correct answer:

1. $\angle 1=\angle 3$ and $\angle 2=\angle 4$
2. $\angle 1=\angle 2$ and $\angle 3=\angle 4$

Q. In the adjoining figure, $AC$ and $BD$ are two lines intersecting at O.
Which of the following are correct?

1. m$\angle 1$ = m$\angle 2$
2. m$\angle 1$ = m$\angle 3$
3. m$\angle 2$ = m$\angle 3$
4. m$\angle 2$ = m$\angle 4$

Q. In the given figure, the measure of $\angle BOE$ is:

1. 60°
2. 70°
3. 80°
4. 90°

Q. The measures of two vertical angles are ${60}^o$ and $(x+10{)}^o$. Find the value of $x$.

1. $60$
2. $50$
3. $70$
4. None of the above

Q. The measures of two vertical angles are $(\sqrt{4x^2}-30{)}^o$ and $(\frac{x^2}{x}+10{)}^o$.
Determine the value of $x$.

1. $10$
2. $20$
3. $30$
4. $40$