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natita [175]
3 years ago
6

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

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

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

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