Answer:
28°
Step-by-step explanation:
Find the attachment in the diagram. According to the diagram, the sum of angle on the straight line AOB is 180°. Also the < AOD is equal to <COB (oppositely directed angle)
From the diagram;
m∠COE+m∠EOF+m∠FOB = <COB
Given
m<AOD = 152
m∠COE = 3x
m∠EOF = x
m∠FOB = x+ 12
Since < AOD = < COB, the expression above becomes;
m∠COE+m∠EOF+m∠FOB = m<AOD
Next is to substitute the given parameters into the formula above to get x;
3x+x+x+12 = 152
5x+12 = 152
subtract 12 from both sides of the equation
5x+12-12 = 152-12
5x = 140
divide both sides by 5;
5x/5 = 140/5
x = 28°
Hence the measure of angle x is 28°
