Question

find the value of b.

1. ( b ^ { circ } =? )

( 36 ^ { circ } )
( 116 ^ { circ } )
( 244 ^ { circ } )
( 360 ^ { circ } )

Explanation:

Step1: Use the exterior angle sum formula

The sum of exterior angles of a polygon is \(360^{\circ}\). Let the three exterior angles be \(135^{\circ}\), \(109^{\circ}\), and \(b^{\circ}\).

Step2: Set up the equation

\(135 + 109 + b=360\)

Step3: Solve for \(b\)

\(b = 360-(135 + 109)\)
\(b=360 - 244\)
\(b = 116\)

Answer:

\(116^{\circ}\)