Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:

An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ

Which could be the measures of angle POS and angle POQ?

Question

cojocarusandu cojocarusandu

11-06-2016
Mathematics

contestada

Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:

An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ

Which could be the measures of angle POS and angle POQ?

Respuesta :

Otras preguntas

2. How was representative government limited in the colonies?

Select the sentence that correctly uses a comma to separate a list of only two items. 1. The red dress, and silver shoes match perfectly. 2. The long, red dress

The altitude a in feet of a plain tea minutes after lift off is given by a equals 3480+600 how many minutes after lift off is the plane at an altitude of 21,000

Help please I cant find my answer

A+100+gram+alloy+of+nickel+and+copper+consists+of+70+wt+%+ni+and+30+wt+%+cu.+what+are+the+atom+percentages+of+ni+and+cu+in+this+alloy?

What three cities fall along Pike’s 1806–07 route?

The sun has a surface temperature of approximately 5800 k. at what wavelength does the maximum energy radiated by the sun occur?

Use prime factorization to determine the greatest common factor of 180 and 504

The cost of producing 500 mp3 players is $2400. Producing 780 mp3 players would cost $3520. Step 1 of 3: Find the average cost per mp3 player of the additional

Fairlane company. has an roa of 8 percent and a payout ratio of 31 percent. what is its internal growth rate?

metchelle metchelle · Answer 1 · 2016-06-15T02:20:06+02:00

Unless we were given values of the angles, there is no way to find the numerical value of the angle. However, we can establish a relationship between the measures of angles POS and POQ. Since it was stated that OP and OQ were similar arcs (had the same value), and that OS bisects angle POQ, we can conclude that the two angles (POS and QOS) created from bisecting POQ are each, exactly half the angle POQ. Therefore:

angle POS = 1/2 angle POQ

Hisokaslefttiddie Hisokaslefttiddie · Answer 2 · 2020-09-23T16:51:13+02:00

Hisokaslefttiddie Hisokaslefttiddie

23-09-2020

Answer:

on the test the answer is m<POS= 25; m<POQ=50

Step-by-step explanation:

Answer Link