Two angles form a linear pair

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Two angles form a linear pair. The first angle measures 5z−30∘5z - 30^{\circ} and the second measures 2z+15∘2z + 15^{\circ}. (i) Find the value of zz. (ii) Determine the exact measure of each angle. (iii) Classify each of the two angles obtained in part (ii). (iv) If these two angles are vertically opposite to another pair formed at the same intersection, what will be the type of each vertically opposite angle? Give reasons for your answer.

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