Question 937854

In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measure of the first angle?
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Let measure of 2nd angle, be S
Then measure of 1st angle is: 4S
Also, measure of 3rd angle is: S + 36
A triangle's angles sum to {{{180^o}}}, so we get:
S + 4S + S + 36 = 180
6S + 36 = 180
6S = 180 - 36
6S = 144
S, or 2nd angle measures: {{{144/6}}}, or {{{highlight_green(24^o)}}}
1st angle measures: 4(24) or {{{highlight_green(96^o)}}}
3rd angle measures: 24 + 36, or {{{highlight_green(60^o)}}}