Solve Equations with Complementary Angles Quick Check
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Question
Use the image to answer the question.
An illustration shows three rays D, G, and F emerging from a point labeled E, forming a right angle at E. The right angle is divided into two parts by ray E G. The angles face leftward. Angle D E F measures 90 degree, angle D E G measures left parenthesis 2 x right parenthesis degrees, and angle G E F measures left parenthesis 5 x minus 22 right parenthesis degrees.
What is the simplified equation corresponding to the measures of the angles?
(1 point)
Responses
(3x−22)°=90°
left parenthesis 3 x minus 22 right parenthesis degrees equals 90 degrees
(3x−22)°=180°
left parenthesis 3 x minus 22 right parenthesis degrees equals 180 degrees
(7x−22)°=90°
left parenthesis 7 x minus 22 right parenthesis degrees equals 90 degrees
(7x−22)°=180°