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alexandraparava
09.07.2019 •
Mathematics
In triangle abc the measure of angle a is 5 degrees more that 3 times the measure of angle b . angle c measures 20 degrees less than angle b . determine the measures of angle a b and c
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Ответ:
Measures of angles
are equal to
respectively.
According to the angle sum property of a triangle, sum of all the angles of a triangle is equal to![\boldsymbol{180^{\circ}}](/tpl/images/0070/5020/39098.png)
Let measure of angle
be ![x](/tpl/images/0070/5020/a0e3f.png)
Measure of angle![a=5+3x](/tpl/images/0070/5020/f3ee0.png)
Measure of angle![c=x-20](/tpl/images/0070/5020/4cd68.png)
So,
Measure of angle![a=5+3(39)](/tpl/images/0070/5020/7190e.png)
Measure of angle![b=39^{\circ}](/tpl/images/0070/5020/e56a7.png)
Measure of angle![c=39-20](/tpl/images/0070/5020/eebf4.png)
For more information:
link
Ответ:
a = 122°, b = 39° and c = 19°
angle a = 3b + 5 and angle c = b - 20
The sum of the angles in a triangle = 180°
Thus 3b + 5 + b + b - 20 = 180 ( solve for b)
5b - 15 = 180
add 15 to both sides
5b = 180 + 15 = 195
divide both sides by 5
b =
= 39
angles are a = ( 3 × 39) + 5 = 122°, b = 39°, c = 39 - 20 = 19°
Ответ:
Idk, I don’t read ancient egyptian