Question

The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?

Answer 1

`\angle b + \angle c + \angle e = 120^\circ`

Explanation:

Given

`\angle d = 150`

See attachment for illustration

Required

Find
`\angle b + \angle c + \angle e =`

The sum
`of\ angles\ at` a point is
`360^\circ`

So:

`\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ`

Angle a is at right angled.

So:

`90 + \angle b + \angle c + 150 + \angle e = 360^\circ`

Collect like terms

`\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ`

`\angle b + \angle c + \angle e = 120^\circ`