the measures of two adjacent angles of a quadrilateral are 122 and 38.if the other two aqngles are equaql,find them

rn

Hi!

1st of all,

The sum of angles of a quadrilateral (polygon with 4 line segments) is always = 360*

So in the question,the measure of 2 sides is given (122* and 38*) and it is also mentioned that the remaining 2 angles are equal.

So the equation is:

122* + 38* + a* + a* = 360*

122* +38* + 2a* = 360*

160* + 2a* = 360*

2a* = 360* - 160*

2a* = 200*

a* = 200* divided by 2

a* = 100*

Therefore the 4 angles of the quadrilateral are 122*,38*,100* and 100*