Consider the two angles and

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Consider the two angles (5x+7)∘(5x+7)^{\circ} and (3x−17)∘(3x-17)^{\circ}. Answer the questions that follow. (i) Write the equation that must be satisfied if these two angles are complementary. (ii) Solve the equation to find the value of xx. (iii) Using the value of xx obtained in part (ii), calculate the measure of each angle. (iv) State whether each of the two angles is acute, right, or obtuse, giving a reason for your classification.

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