Answer:
[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]
Step-by-step explanation:
The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:
[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.
Solving, we get:
[tex]9x=180,\\x=20[/tex]
Therefore, plugging our constant back in, our angles are:
[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].
Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).
Answer:
100, 40, 40
Step-by-step explanation:
First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.
