204k views
1 vote
InstructionsFind the value of the variable. Then find the measure of each labeled angle.Find Missing Anglesx-(x - 50°

InstructionsFind the value of the variable. Then find the measure of each labeled-example-1

1 Answer

4 votes

Problem

Solution

For this case we need to remember that the sum of all theinterior angles of any quadrilateral is 360º then we can set up the following equation:

90+90+ x +(x-50)=360

And now we can solve for the value of x

180+2x-50=360

2x= 360-180+50

2x= 230

And we got:

x= 230/2= 115º

Now with the value of x we can find the angles and we got:

x= 115º

x-50º= 115-50= 65º

InstructionsFind the value of the variable. Then find the measure of each labeled-example-1
User Sorantis
by
6.3k points