In the adjoining figure, `AOB` is a straight line. Find `angleAOC` and `angleBOD`.

Options

A. `40^(@) , 70^(@)`
B. `45^(@) , 70^(@)`
C. `45^(@) , 60^(@)`
D. `55^(@) , 70^(@)`

Answer

B

Explanation

Since `AOB` is a straight line, the sum of all the angles on the same side of `AOB` at a point `O` on it, is `180^(@)`
`:. x+65+(2x-29)=180`
`implies 3x=135 implies x=45`.
`:. angleAOC=x^(@)=45^(@) and angleBOD=(2 x 45-20)^(@)=70^(@)`.