MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Ray OB stands on straight line AC, creating two adjacent angles ∠AOB and ∠BOC. Their measures are given by (7x−23)∘ and (5x+3)∘ respectively.
Respond to the following points:
(i) Explain why ∠AOB and ∠BOC are supplementary.
(ii) Form an equation in x using this relationship.
(iii) Solve the equation to find the value of x.
(iv) Calculate the exact measure of each angle and state whether any of them is a right angle.