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 + <<em>b</em> + <DOE = 180⁰
51⁰ + <em>b</em> + 53⁰ = 180⁰
<em>b</em> + 104⁰ = 180⁰
<em>b</em><em> </em>= 180⁰ - 104⁰
<em>b</em><em> </em><em>=</em><em> </em><em>7</em><em>6</em><em>⁰</em>
<em>From figure, line BE and AD are intersecting lines. Then, by the property of vertically opposite angles,</em>
<em><</em><em>b</em><em> </em>= <<em>d</em>
<em><</em><em>d</em><em> </em>= 76⁰
From figure, line BE and AD are intersecting lines. Then, by the property of vertically opposite angles,
<<em>a</em><em> </em>= <AOF
<<em>a</em><em> </em>= 51⁰