At point , line is a straight line. On the same side of , rays and are drawn such…
MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
At point O, line AB is a straight line. On the same side of AB, rays OC and OD are drawn such that OC lies between OA and OD. The measures of the three adjacent angles on this side of AB are given as follows:
∠COA=(2x+15)∘, ∠COD=(x+5)∘, ∠DOB=(3x−35)∘.
(i) Write an equation connecting the three given angles using the fact that they together constitute a straight angle.
(ii) Solve the equation to find the value of x.
(iii) Determine the measure of each of the three angles.
(iv) State whether each of the three angles is acute, right or obtuse, giving reasons for your answer.