Question

lf an angle has a measure50 degree more than the measure of a supplement to it. what is the measure of the angle​

Answer 1

Answer:

The smaller angle measures  65  °.

Explanation:

Supplementary angles are two angles whose measures add up to  

180 °.  

According to the data given, the above two angles can be represented as  x  and  x + 50 .  

Hence:

x + ( x + 50 ) = 180  

Open the brackets and simplify.

x + x + 50 = 180

2 x + 50= 180

Subtract  50  from each side.

2 x = 180 − 50

2 x = 130

Divide both sides by  2

 x = 130 /2

x = 65

Hope this helped you!!