Step-by-step explanation:
The objective is to find the missing angles.
It is given that <DOE = 53° and <AOF = 51°.
Then, the angle b can be calculated by the angel sum property of triangle as,
<AOF + <b + <DOE = 180⁰
51⁰ + b + 53⁰ = 180⁰
b + 104⁰ = 180⁰
b = 180⁰ - 104⁰
b = 76⁰
From figure, line BE and AD are intersecting lines. Then, by the property of vertically opposite angles,
<b = <d
<d = 76⁰
From figure, line BE and AD are intersecting lines. Then, by the property of vertically opposite angles,
<a = <AOF
<a = 51⁰
