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there is a coordinate - like cross - line diagram. at the intersection …

Question

there is a coordinate - like cross - line diagram. at the intersection point, there are angles marked. one angle is 89° between the left - right line and the down - up line (marked as cs adjacent angle). the angle at the top of the intersection (marked as b) and the angle at the bottom (marked as c) need to be solved. the answer area shows that b is filled with 89°, and c needs to be filled. there is also a note answer attempt 2 out of 2.

Explanation:

Step1: Use the property of adjacent angles on a straight line

Adjacent angles on a straight line sum to \(180^{\circ}\). Given one angle is \(89^{\circ}\), for angle \(c\), we have the equation \(89^{\circ}+c = 180^{\circ}\).

Step2: Solve for \(c\)

Subtract \(89^{\circ}\) from both sides of the equation \(c=180^{\circ}- 89^{\circ}\).

$$c = 91^{\circ}$$

Answer:

\(c = 91\)