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javi89
10.10.2019 •
Mathematics
In a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle 100 degrees more than the measure of the second angle
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Ответ:
Not exactly sure what the question was but I hope that answers it
Working out:
Let the measure of the second angle equal α
The first angle is double the second angle ie. 2α
The third angle is 100 more than the second angle ie. α+100
We now have three angles: 2α, α, α+100
The angle sum of a triangle is always 180°
∴2α + α + α+100 = 180 (group like terms)
4α + 100 = 180 (-100)
4α = 80 (÷4)
α = 20
Ответ: