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

Answer:

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

Step-by-step 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

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

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