<PRE><B>Question 207726</B>

The complement of angle A is 20 degrees less than half the supplement of angle A. Find the measure of angle A. Where do I start from here. 


The complement of angle A is: (90 - A)


The supplement of angle A is: (180 - A)


Since the complement of A is 20 degress less than half the supplement of angle A, then we have:


{{{(90 - A) + 20 = (1/2)*(180 - A)}}}


{{{110 - A = (180 - A)/2}}}


Cross-multiplying, we get: 2(110 - A) = 180 - A


220 - 2A = 180 - A

- 2A + A = 180 - 220


- A =  - 40

{{{A = (-40)/-1}}}


A = 40


Therefore, angle A = {{{highlight_green(40)}}} degrees.</PRE>