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21 votes
21 votes
In rectangle SORE below, m∠REO = (x + 50)° and m∠SEO = (3x - 20)°, what is the measure of m∠RSE?

User Laxmi Narayan
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1 Answer

11 votes
11 votes

Answer:

65degrees

Explanation:

In rectangle SORE below, m∠REO = (x + 50)° and m∠SEO = (3x - 20)°, what is the measure of m∠RSE?

From the rectangle SORE, m<SEO + m<RSE = 90

Substitute the given angles

x+50+3x-20 = 90

4x + 30 = 90

4x = 90-30

4x = 60

x = 60/4

x = 15

Get m<RSE

mRSE = m<REO = x+50

m<RSE = 15+50 = 65degrees

User Apardes
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