Question 421876
"The measure of angle t is 35º greater than 4 times the measure of its supplement"


t = measure of angle t
180 - t = measure of supplement {supplementary angles add up to 180}


t = 4(180 - t) + 35 {measure of t is 35 more than 4 times supplement}
t = 720 - 4t + 35 {used distributive property}
t = -4t + 755 {combined like terms}
5t = 755 {added 4t to both sides}
t = 151 {divided both sides by 5}
180 - t = 29 {substituted 151, in for t, into 180 - t}


t = 151 and supplement = 29
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