Question

The figure below shows some steps that Barry used to construct an angle at point Q, congruent to angle BAC.
In the next step, Barry draws an arc from point L. What is the width of the compass that Barry should use?

Answer 1

picture ?

Answer 2

u may take a screenshot and attach the pic here using "Attach File" button

Answer 3

its right below this textbox...

Answer 4

its a "copy angle" construction

Answer 5

looks she is in mid of construction right ?
she already drew two equal arcs -

Answer 6

In the next step, she needs to open the compass to the width of \(JK\) and draw an arc from \(L\), intersecting the previous arc

Answer 7

So if i say he should adjust the compass to length AB of the original angle and copy it would that be correct

Answer 8

oh i get it

Answer 9

good :)
the idea is to copy triangle AJK so that, the angle also gets copied along wid it

Answer 10

thanks so much. Can you help me with another problem?

Answer 11

http://www.mathopenref.com/constcopyangle.html

Answer 12

click that link and click "RUN"

Answer 13

shoot

Answer 14

I remember seeing the video but it was some time ago. Thanks it helped jog my memory and can you help me with another problem?

Answer 15

glad to hear that :) sure, ask :)

Answer 16

A portion of the staircase railings of a building is shown below.
What is the measure of angle MQA?

Answer 17

the arrow marks indicate the lines are parallel

Answer 18

since AB, CD, EF lines have one arrow march on each of them,
they're parallel :

AB || CD || EF

Answer 19

Also, RS and PQ have two arrow marks on each of them, so :

RS || PQ

Answer 20

\(\angle PRS \cong \angle EPQ\) cuz they're corresponding angles

Answer 21

so, \(\angle EPQ \cong 115\)

Answer 22

\(\angle EPQ\) and \(\angle MQA\) are "same side interior angles", so they add up to 180

Answer 23

\(\angle EPQ + \angle MQA = 180\)

\(115+ \angle MQA = 180\)

Answer 24

you can solve \(\angle MQA\)