Question

find the measure of \\(\angle x\\).

\\(m\angle x = \boxed{49}^\circ\\)

Explanation:

Find the interior angle adjacent to the \(134^\circ\) angle

Using the Supplementary Angles knowledge point

$$ 180^\circ - 134^\circ = 46^\circ $$

Find the interior angle opposite to the \(39^\circ\) angle

Using the Vertical Angles knowledge point

$$ \text{Interior angle} = 39^\circ $$

Calculate the third interior angle of the triangle

Using the Triangle Angle Sum Theorem knowledge point

$$ 180^\circ - (46^\circ + 39^\circ) = 180^\circ - 85^\circ = 95^\circ $$

Find the measure of angle x

Using the Vertical Angles knowledge point

$$ m\angle x = 95^\circ $$

Answer:

Find the measure of \(\angle x\).

\(m\angle x =\) <blank>\(95\)</blank>\(^\circ\)