Sign In Sign Up Ask an AI advisor

haileyhale5

haileyhale5

06.05.2020 •

Mathematics

In a triangle RSM, the measure of angle SRM is twice the measure of angle RSM. A point O is selected on side RS such that SO=SM. The length of the angle bisector of angle RMS equals RO. What is the degree measure of angle RSM. The answer is a positive integer.

Solved

Show answers

Ответ:

TayanaB

26.01.2022

$36^{\circ}$

Step-by-step explanation:

Given

$\angle RSM =2\angle SRM$

suppose $\angle RSM =\angle 2$

and $\angle SRM=1$

So from figure

$\angle SOM =\angle OMS=\angle 3$

and $\angle OMS=\angle 0MR$

In triangle SOM

$\angle 2+\angle 3+\angle 3=180^{\circ}$

$\angle 2+2\angle 3=180^{\circ}\quad \ldots(i)$

In triangle RSM

$\angle 1+\angle 2+\angle 3=180^{\circ}\quad \ldots(ii)$

and $\angle 1=2\angle 2$

Using this and Substitute this value in (ii)

$2\angle 2+\angle 2+\angle 3=180^{\circ}$

$3\angle 2+\angle 3=180^{\circ}\quad \ldots(iii)$

Solving (i) and (iii) we get

$2\angle 2=\angle 3$

Substitute in equation (i) we get

So $\angle 2=\frac{180}{5}$

$\angle 2=36^{\circ}$

So $\angle RSM=\angle 2=36^{\circ}$

In a triangle RSM, the measure of angle SRM is twice the measure of angle RSM. A point O is selected

0,0(0 оценок)

Ответ:

abbyhoward9302

16.07.2020

i dont know how to answer this i just want the points lol

Step-by-step explanation:

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
L Leisure and Entertainment How to Learn to Draw Graffiti: Tips for Beginners...
G Goods and services How to sew a ribbon: Tips for beginners...
L Leisure and Entertainment How to Land on the Moon: Your Comprehensive Guide...
H Health and Medicine Novomin: What is it and how to use it?...
A Art and Culture Attention, the Final Episode of Margo is Almost Here!...
A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
S Style and Beauty How to Break in New Shoes: 7 Simple Methods...

Answers on questions: Mathematics

M Mathematics Write the mixed number as an improper fraction and the improper fraction as a mixed number. 7¾ does anyone know the answer (write the mixed number of the fraction...
M Mathematics A new ferilizer was tested on fields of corn. Researchers randomly selected 5 of 10 similar fields to receive the new fertilizer, and the other 5 fields received the...
M Mathematics Which of the following best represents the coordinates of point P such that P is 1/3 of the distance from R to T where R is at ( -2,0), and T is at (4,3)?...
M Mathematics In the diagram, AngleTRV ≅ AngleVRW. 2 lines intersect. A line with points T, R, W intersects a line with points S, R, V at point R. What is the measure of AngleSRT?...
M Mathematics X + 2y + 4z = -8 5.2 + y + 32 = 10 2x + y +z = 6 Wha...
M Mathematics What are two ways you can solve this problem...
M Mathematics On average, Mary can drive to the supermarket in 10 minutes. but depending on Mathie the drive can vary from the average by minutes Which absolute Value equation can...
M Mathematics A survey asked people how many hours they spend watching television during a week, to the nearest hour. The histogram displays the data. Which of these statements...
M Mathematics The polynomial is missing the coefficient of the third and last terms. 729x3 – 1,458x²y + xy2 - 3 If the polynomial is factorable using the binomial theorem, what...
M Mathematics Plz help! It’s math....

S Sport S Society and Politics G Goods and services C Cities and Countries A Animals and plants L Legal consultation W Work and Career C Construction and repair H Health and Medicine D Dating, Love, Relationships H Horoscopes, Magic, Divination S Style and Beauty L Leisure and Entertainment S Science and Technology P Photography and Videography A Art and Culture O Other P Philosophy F Food and Cooking B Business and Finance T Travel and tourism F Family and Home A Auto and Moto

Show more

Full access

It will provide effective and fast learning by providing unlimited access to the knowledge base and receiving answers from experts and an AI advisor.

Subscribe

Ask an AI advisor a question

I want advice

ABOUT US

About us
Terms of use
Copyright
Privacy Policy
Cookie policy
Cookie preferences

HELP

Sign Up
FAQ
Security Center

App

Spanish Geography Health Engineering Arts Social Studies Advanced Placement (AP) German SAT History Computers and Technology Physics Chemistry Biology Law Mathematics World Languages French Business Medicine