MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
In a warehouse ceiling, two long steel beams B1 and B2 are parallel. A diagonal safety cable intersects B1 and B2, forming a pair of consecutive interior angles whose measures are (4x+12)∘ and (6x−32)∘ respectively. Answer the following.
(i) Write the equation in x that relates the two interior angles.
(ii) Solve for x.
(iii) Find the measure of each interior angle.
(iv) Verify that the beams are parallel by checking the relationship between the two interior angles.