We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
124
2
avatar

Two angles of an equilateral triangle have measures $3x^{\circ}+ 27^{\circ}$ and $2y^{\circ} - 4^{\circ}$. Find $x + y.$

 Sep 21, 2019
 #1
avatar+196 
+2

\( 3x^{\circ}+ 27^{\circ}, \space2y^{\circ} - 4^{\circ} \)

An equilateral triangle is a triangle where all the algles are the same, so they all measure 60 degrees.

The equations 3x+27=60 and 2y-4=60 can be made because they are the measures of the angles and both of them are equil to 60.

The equations can be solved to find x and y

3x+27=60

3x=33         subtract 27 from each side

x=11           divide by 3

 

2y-4=60

2y=64        add 4 to both sides

y=32          divide by 2

 

So x+y=11+32=43

 Sep 21, 2019
 #2
avatar+2361 
+1

Good job, Power27!

CalculatorUser  Sep 21, 2019

34 Online Users

avatar
avatar
avatar
avatar