Respuesta :
Answer:
Angle = [tex]52^\circ[/tex]
Complement angle = [tex]38^\circ[/tex]
Step-by-step explanation:
We are given the following information:
x is the degree of a an angles complement. Thus, we can write:
[tex]90^\circ - \text{Angle Measure} = x[/tex]
We are also given that angle measure is greater than the complement by 14 degree measure.
[tex]\text{Angle Measure} = x + 14[/tex]
Putting value of angle measure in first equation, we get:
[tex]90 - ( x + 14 ) = x\\90 -x -14 = x\\76 = 2x\\x = 38[/tex]
Hence Complement measure = [tex]38^\circ[/tex]
Angle measure = ( 90-38) = [tex]52^\circ[/tex]
