Question

5. If ZDAC = 30°, find the angles of AABC in the figure 10.23.​

Answer 1

Answer:

Solution

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We know that the sum of all the angles in triangle ACE is 180

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.

∠A+∠C+∠E=180

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..(1)

We know that the sum of all the angles in triangle BDF is 180

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.

∠B+∠D+∠F=180

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..(2)

Now by adding both equations (1) and (2) we get

∠A+∠C+∠E+∠B+∠D+∠F=180

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+180

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On further calculation

∠A+∠B+∠C+∠D+∠E+∠F=360

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Therefore, it is proved that ∠A+∠B+∠C+∠D+∠E+∠F=360