In the diagram, $a+b$ equals
(A) 10
(D) 170
(B) 85
(E) 190
(C) 110

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-143.jpg?height=336&width=333&top_left_y=1453&top_left_x=1357)
In the diagram, $a+b$ equals
(A) 10
(B) 85
(C) 110
(D) 170
(E) 190

![](https://cdn.mathpix.com/cropped/2024_04_20_faa9db06d997f2a5b9b1g-241.jpg?height=382&width=396&top_left_y=210&top_left_x=1453)

## Solution

The number of degrees at the centre of a circle is 360 .

Thus, $a+b+110+60=360$ (measured in degrees).

Therefore $a+b=190$.

ANSWER: (E)