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?
Responses
(3x−22)°=180°
open paren 3 x minus 22 close paren degrees is equal to 180 degrees - incorrect
(7x−22)°=180°
open paren 7 x minus 22 close paren degrees is equal to 180 degrees - no response given
(7x−22)°=90°
open paren 7 x minus 22 close paren degrees is equal to 90 degrees - not selected, this is the correct answer
(3x−22)°=90°
open paren 3 x minus 22 close paren degrees is equal to 90 degrees - no response given
The correct answer is (7x-22)°=90°.
A figure displays two nonadjacent angles with measures (x+2)° and (2x−4)° . If the two angles are complementary, what is the written equation?(1 point)
(x+2)° + (
)° =
°
If two angles are complementary, their measures add up to 90°. Therefore, the written equation is:
(x+2)° + (2x-4)° = 90°