Triangle ABC in the figure below is an isosceles triangle (the two marked sides are equal): Also, the ratio of the measures of angle A to angle B is 5:2. What is the measure of angle C?
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sum of all angle of a triangle=180degree
triangle ABC is a isosceles triangle,therefore,angleB=angleC
angleA:angleB=5:2
therefore,5x+2x+2x=180degree
9x=180 degree
x=180/9degree
x=20degree
Therefore,angle A=5x=100degree
angle B=2x=40degree
and angle C=2x=40degree
triangle ABC is a isosceles triangle,therefore,angleB=angleC
angleA:angleB=5:2
therefore,5x+2x+2x=180degree
9x=180 degree
x=180/9degree
x=20degree
Therefore,angle A=5x=100degree
angle B=2x=40degree
and angle C=2x=40degree
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