How to solve this i have a exam help me! i have attached the picture help me!

Will recommend to keep in touch with attached picture while reading Answer as names of angles are written according to attached picture!
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[tex] \rm\angle BAO = \angle DCO[/tex]
Reason:-
Alternate Interior Angles.
What is Alternate Interior Angles.?
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
Remember this only possible as lines are parallel give. We get to know that lines are parallel as upward arrow is marked in that lines.
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[tex] \rm \therefore\angle DCO = 2a \degree[/tex]
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Now Let's find angle DOC.
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[tex] \rm\angle DOC +\angle DOA = 180\degree[/tex]
Reason:-
LP (Linear Pair)
What is LP (Linear Pair) ?
Linear pair of angles are formed when two lines intersect each other at a single point
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So let's solve:-
[tex] \hookrightarrow \rm\angle DOC +\angle DOA = 180\degree[/tex]
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[tex] \hookrightarrow \rm78 \degree +\angle DOC= 180\degree[/tex]
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[tex] \hookrightarrow \rm\angle DOC = 180\degree - 78 \degree [/tex]
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[tex] \hookrightarrow \rm\angle DOC =102\degree [/tex]
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Finally Let's find value of a.
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[tex] \rm\angle CDO + \angle DCO + \angle DOC = 180° \\ [/tex]
reason:-
Sum of angles triangle = 180°
Formula to find :
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So let's find:-
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[tex] \dashrightarrow \rm\angle CDO + \angle DCO + \angle DOC = 180° \\ [/tex]
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[tex] \dashrightarrow \rm2a + a+ 102= 180° \\ [/tex]
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[tex] \dashrightarrow \rm3 a+ 102= 180° \\ [/tex]
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[tex] \dashrightarrow \rm3 a= 180° - 102\\ [/tex]
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[tex] \dashrightarrow \rm3 a= 78° \\ [/tex]
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[tex] \dashrightarrow \rm a= 78° \div 3 \\ [/tex]
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[tex] \dashrightarrow \bf a= 26°\\ [/tex]
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Now Let's find angle b
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angle b = angle a
Reason:-
Alternate Interior Angles.
Therefore angle b = 26°
The unknown angles formed when the two transversal cuts the parallel lines are 26°, 26° and 52°.
When two or more lines are cut by a transversal, the angles formed includes corresponding angles, alternate angles etc.
Therefore,
a = b (alternate angles)
Hence,
2a + b + (180 - 78) = 180 (sum of angles in a triangle)
2a + a + 102 = 180
3a + 102 = 180
3a = 180 - 102
3a = 78
a = 78 / 3
a = 26
Therefore, the unknown angles are 26°, 26°, and 2(26) = 52°
learn more on angles here: https://brainly.com/question/26666371