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

Question

asked May 25, 2022 117k views

1 Answer

Bryan Weaver · Answer 1 · 2022-06-01T04:58:04+0000

Answer:

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

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

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

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