Answered: A rectangle is 80 cm long and 20 cm…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

This is the third time I am asking this question. I really cannot understand the handwriting. I don't care for the answer as much as I care for the explanation. I was to understand how to do it. Please type and explain.

Original Question:

A rectangle is 80 cm long and 20 cm wide. Find to the nearest degree, the acute angle formed at the intersection of the diagonals.

Previous responses attached. (Items circled in red are what I do not understand.)

Step 1
We have to find the acute angle
Step 2
20
AB=80
BC=20
1Here. (an) s ABC, tanA =larfe)= BC
ban A =dafe)= Be
1terce, (n
AB
20
-
25)
= 1M.0362
Take
a line
pareallel
at
ditagenal.
m< BOC=20 =
3. (M .0362)= 28 0424
- to
Acute angle = 28.07 - 28.

Step 1 Introduction
we
have
given that
A
20
80
1coC) =80
ICB)=20
ue hare o find aut <BEÊC.
Step 2 Step-by-Step Explanation
let
くBDCキQ
we see tat
and <BEC=2@
In tight ongled Margle BCD
ton@
oppos ite side
Adgacent side
ue knao hat
14. 08.
Therefore,
ZBEC = {@N 2(1403) ={8?
ue bisected the onginal ongle, so the
38 degrees
ONs wer

Expert Solution

Step 1

$Given, Length of rectangle = 80 cm and width of rectangle = 20 cm Let ABCD be the given rectangle . \Rightarrow AB = CD = 80 cm and BC = AD = 20 cm . ∴ AC and BD are digonals of the rectangle To find the acute angle formed at the intersection of diagonals Let P be the point of intersection of diagonals AC and BD Here, ∠ BPC and ∠ APD are acute angle and ∠ APB and ∠ CPD are obtuse angles$

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