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

User Staad
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1 Answer

6 votes
6 votes

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

The measure of Angle d is 150°. What is the value of Measure of angle b + measure-example-1
User Bryan Weaver
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