Question

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

• A. $60$
• B. $50$
• C. $70$
• D. None of the above

Answer 1

The correct option is B $50$

$\underset{–}{\text{Given:}}$ Measures of two vertical angles are ${60}^o$ and $(x+10{)}^o$

$\text{Vertical Angles Theorem}$ states that vertical angles are always congruent(equal in measure).

$\therefore$ $x+10=60$
$\Rightarrow$ $x+10-10=60-10$
$\Rightarrow$ $x=50$

So, option(b.) is correct.