# In #triangleABC#, the interior angle at A is #51^circ# and the exterior angle at B is #119^circ#. The interior angle at C measures what?

Interior angle at C measures

Alterative method

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The exterior angle at B is supplementary to the interior angle at B. Therefore, the interior angle at B is (180^\circ - 119^\circ = 61^\circ).

In a triangle, the sum of the interior angles is always (180^\circ). So, to find the interior angle at C, you subtract the angles at A and B from (180^\circ).

[180^\circ - 51^\circ - 61^\circ = 68^\circ]

Therefore, the interior angle at C measures (68^\circ).

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