Question

Solve the attachment

Answer 1

The measuerment of COB is 67 degrees.

Explanation:

AOB is a straight line meaning that the measurement of AOB is 180° as straight lines are defined to have measurement of 180°.

Given that the measurement of AOC is 113°. Therefore, the sum of ∠AOC and ∠COB must equal to 180°. Thus:

`\displaystyle{113^(\circ) + \angle \text{COB} = 180^(\circ)}\\\\\displaystyle{\angle \text{COB} = 180^(\circ)-113^(\circ)}\\\\\displaystyle{\angle \text{COB} = 67^(\circ)}`

Therefore, the measurement of COB is 67 degrees.