Question 1173237

The degree measure of one of two supplementary angles is 6 more than one-half that of the other. What is the degree measure of the smaller angle?
<pre>Let smaller angle be A
Then larger angle = 180 - A
We then get: {{{matrix(1,3, A, "=", (1/2)(180 - A) + 6)}}}
2A = 180 - A + 12 ------ Multiplying by LCD, 2
3A = 192
Smaller angle, or {{{highlight_green(matrix(1,5, A, "=", 192/3, "=", 64^o))}}}