Question

Find the measure of the marked angles.

Answer 1

So you have 6x-20 and 4x+30. These angles are perpendicular to each other, meaning together they equal 180 degrees. To solve for this equation add both of the equations together equal to 180.
6x-20+4x+30=180
Now subtract: 30-20= 10 so 180-10= 170
Next add 6x to 4x= 10x
So 170=10x
X=17
Now we use substitution to simplify our answers into numerical form:
6(17)-20= 82 this is for 6x-20
4(17)+30= 98 this is for 4x+30
Hope that helps! :)