Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

PLEASE HELP! THANKS!

The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x.
What is the measure of the smallest angle?

A.) 13 degrees
B.) 27 degrees
C.) 36 degrees
D.) 117 degrees

please show how to solve this I GIVE THANKS!!!


Sagot :

if you add everything up then
14x-2=180
14x=182
x= 13
 
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
You first have to know that the measure of the three angles of a triangle= 180 add the terms and equal them to 180 2x+1 + 3x-3 =9x= 180 14x-2 = 180 14x= 182 x=13 This is not what you are looking for, you need to substitute 13 in the original measures 2 (13) +1= 27 degrees 3(13) -3= 36 degrees 9 (13) = 117 degrees therefore the smallest angle is 27 degrees if you add all three angle measure it will = 180 degrees Hope this helps you