   Chapter 4.2, Problem 36E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# 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 formeda) 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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