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Maths-

SAT

Easy

Question

The points in the figure shown lie in the same plane. If $triangle$ ABF is congruent to $triangle$ EDG, where $angle$ A corresponds to $angle$ E and $angle$ B corresponds to $angle$ D, what is the measure, in degrees, of $angle$ GCF? (Disregard the degree symbol when gridding your answer.

The correct answer is: 100

$increment A B F & increment E D G$ are congruent.
$angle A equals angle E equals 65 degree$
$angle B equals angle D equals 75 to the power of degree$
$angle G equals angle F equals 40 degree$
In $capital delta G C F space angle G plus angle C plus angle F equals 180 degree$
$40 plus x plus 40 equals 180 degree$
$x equals 180 minus 80 equals 100 degree$

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