Geometric Angle Problem: Verify 65° and 40° Triangle Relationships

AAADDDFFFBBBCCC65°40°40°Which of the following are true?

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Step-by-step video solution

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00:00 Choose the correct answer
00:03 The triangles share the same vertex angle (a)
00:15 Equal angles according to given data (a)
00:23 The triangles are similar by A.A
00:37 Equal angles as a result of similar triangles
00:41 And this is the solution to the question

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1

Understand the problem

AAADDDFFFBBBCCC65°40°40°Which of the following are true?

2

Step-by-step solution

If the sum of the angles in a triangle equals 180, then angle F equals 75 and therefore angle C also equals 75.

The triangles are similar according to the angle-angle theorem

Answer D is correct

3

Final Answer

Answers (a) and (b) are correct.

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