Respuesta :

crosez
to solve this, we can set up 2 equations 
x= angle 1
y= angle 2

x + 50 = y   (measure of angle y is 50 more than measure of angle x)
x + y = 180 (angles are supplements, which means they add up to 180                                  degrees)

we are given what y is equal to (x+50) so, we can plug this value in for y in the second equation and solve for x

x + y = 180
x +(x + 50) =180
2x + 50 = 180
2x = 130
x = 65 degrees

now that we know what x is equal to, we can plug 65 into either equation for x and solve for y

65 + y =180
y = 115 degrees

now that we know the measure of both angles, we can conclude that the measure of the smaller angle is 65 degrees

hope this helped!
Creati
Hey!

A supplementary angle adds up to 180°. You can make an equation

[tex]x + (x + 50) = 180[/tex]

Let's simplify that:

[tex]2x + 50 = 180[/tex]

Switch it around and it becomes:

[tex]180 - 50 = 2x[/tex]
The sign changes when moved to the other side.

Subtract 50 from 180

[tex]180 - 50 = 130[/tex]

[tex]130 = 2x[/tex]

Divide both sides by 2

[tex] \frac{130}{2} = \frac{2x}{2} [/tex]

[tex]\framebox{x = 65 \°}[/tex]

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