Answer:
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle d = 150[/tex]
See attachment for illustration
Required
Find [tex]\angle b + \angle c + \angle e =[/tex]
The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]
So:
[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]
Angle a is at right angled.
So:
[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]
Collect like terms
[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
