Two adjacent angles form a straight angle

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

Problem

Two adjacent angles form a straight angle. One of them measures (3x+25)∘(3x + 25)^\circ and the other measures (5x−7)∘(5x - 7)^\circ. (i) Set up an equation in xx using the given information. (ii) Solve the equation to find the value of xx and hence determine the measure of each angle. (iii) Verify that the two angles obtained in part (ii) are supplementary.

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