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The figure shows the points A, B, C, … , G and

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The figure shows the points A, B, C, … , G and

by Max@Math Revolution » Tue Jul 28, 2020 12:46 am

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[GMAT math practice question]
7.28PS.png
The figure shows the points A, B, C, … , G and \(<\) B = 70°, \(<\) C = 68°, \(<\) D = 78°, \(<\) E = 82°, \(<\) F = 86° and \(<\) G = 88°. What is \(<\) A?

A.58°
B. 60°
C. 68°
D. 70°
E. 88°
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Re: The figure shows the points A, B, C, … , G and

by Max@Math Revolution » Thu Jul 30, 2020 1:04 am
=>
7.28ps(a).png
∠DBE + ∠CEB = ∠BDC + ∠ECD

The sum of all the interior angles of quadrilateral ACDF and triangle GBE is 360° + 180° = 540°.
The measure of the angle ∠A is
540° – ( 70° + 68° + 78° + 82° + 86° + 88° ) = 68°.

Therefore, the correct answer is C.
Answer: C
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