Question

calculate the value of x.
your answer

Explanation:

Find the interior angle on the left

The exterior angle on the left and the interior angle form a straight line.

$$ 180^\circ - 141^\circ = 39^\circ $$

Find the interior angle on the right

Using the Triangle Angle Sum theorem, the interior angles must add up to \(180^\circ\).

$$ 180^\circ - (63^\circ + 39^\circ) = 180^\circ - 102^\circ = 78^\circ $$

Solve for x

The interior angle on the right and the exterior angle \(x^\circ\) lie on a straight line.

$$ x = 180 - 78 = 102 $$

Answer:

\(x = 102\)