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Anton [14]
3 years ago
14

The measure of the vertex angle of an isosceles triangle is 108. Find the measure of a base angle.

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

Each base angle would be equal to 36 degrees.

Step-by-step explanation:

In order to find the base angle measurements, we need to note that both angles would be equal to each other because it is an isosceles triangle. So, we subtract the vertex angle and then we divide by 2 to get the base angle measurements.

180 - 108 = 72

72/2 = 36 degrees

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Find the difference between8/15 and 2/3 Show all calculations in your final answer.
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Answer:

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Step-by-step explanation:

  • Let the value of a number 'a' be = 8/15
  • Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

         =\frac{8}{15}-\frac{-2}{3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

          =\frac{8}{15}-\left(-\frac{2}{3}\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

          =\frac{8}{15}+\frac{2}{3}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{8+10}{15}

          =\frac{18}{15}

\mathrm{Cancel\:the\:common\:factor:}\:3

           =\frac{6}{5}

Thus,

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}                    
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