Question

Complete the proof to show that m abd m dbc = 180. Lines ac and bd intersect at point b. Select the correct answer from each drop-down menu.

Answer 1

To prove that O_b + O'_b = 90.0⁰, we can use the fact that the sum of the angles in a triangle is 180⁰. By considering O_b and O'_b as the two angles of a triangle, we can solve for their sum.

Step-by-step explanation:

To prove that ∠Ob + ∠O'b = 90.0°, we can use the fact that the sum of the angles in a triangle is 180°. Since Ob and O'b form a straight line, we can consider them as the two angles of a triangle with the third angle being 180° - (∠Ob + ∠O'b). Therefore, ∠Ob + ∠O'b + (180° - (∠Ob + ∠O'b)) = 180°. Simplifying this equation gives us 180° - (∠Ob + ∠O'b) = 180°. Now, let's solve for ∠Ob + ∠O'b = 90.0°.