+0  
 
0
185
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+195 
+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+2557 
+1

Good job, Power27!

CalculatorUser  Sep 21, 2019

11 Online Users

avatar
avatar