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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

R S T V is a kite, with R S ¯ S T ¯ and R V ¯ V T ¯ . If m S T V = 40 ° , how large is the angle formed

a) by the bisectors of R S T and S T V ?

b) by the bisectors of S R V and R S T ?

To determine

a)

The angle formed by the bisectors of RST and STV.

Explanation

Calculation:

Given,

RSTV is a kite

RS¯ST¯

RV¯VT¯

mSTV=40°

Let the bisectors of RST and STV intersect at ‘O’.

Now, we need to find the angle formed by the bisectors OS and OT, which is TOS.

In the kite T and S are bisected, thus in TOS,

OST=90°2=45°, and

STO=40°2=20°

To determine

b)

The angle formed by the bisectors of SRV and RST.

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