SOLUTION: In triangle XYZ, the measure of angle X is eight times the sum of the measures of angles Y and Z. The measure of angle Y is three times the measure of angle Z. What are the measure
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Question 1008069: In triangle XYZ, the measure of angle X is eight times the sum of the measures of angles Y and Z. The measure of angle Y is three times the measure of angle Z. What are the measures of the angles? Answer by MathLover1(20849) (Show Source):
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In triangle , the measure of all three angles is:
.....eq.1
if the measure of angle is times the of the measures of angles and , we have .....eq.2
if the measure of angle is times the measure of angle , then we have
.....eq.3....substitute in eq.2
.....eq.2
now we know that and ; substitute it in eq.1
.....eq.1
.....solve for
now we can find the measure of and => =>
and =>=>
