Question

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Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In the given triangle, one angle is 30° and another is 80°. Let the third - interior angle be y. So, y+30° + 80°=180°.

Step2: Calculate the third - interior angle y

y=180°-(30° + 80°)=70°.

Step3: Use the linear - pair property

The angle x and the third - interior angle y form a linear pair. A linear pair of angles sums to 180°. So, x + y=180°. Since y = 70°, then x=180° - 70°=110°.

Answer:

110