in a triangle one of the angles is 100. the measure of the middle angle is 24 more than the measures of the smallest angle .what are the measures of these two angles

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25-09-2018
Mathematics

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in a triangle one of the angles is 100. the measure of the middle angle is 24 more than the measures of the smallest angle .what are the measures of these two angles

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2021crabtree 2021crabtree · Answer 1 · 2018-09-25T00:34:56+02:00

2021crabtree 2021crabtree

25-09-2018

Measure of all angles in a triangle is 180
180-100=80
Middle angle plus smallest angle =80
smallest angle(s) +24=middle angle(m)

s+s+24=80
2s+24=80
2s+24-24=80-24
2s=56
2s/2=56/2
s=28
m=28+24
m=52
smallest angle is 28
middle angle is 52

100+28+52=180

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