ashleehandy071979
ashleehandy071979 ashleehandy071979
  • 12-06-2021
  • Mathematics
contestada

Find the measure of <C in the following figure: ​

Find the measure of ltC in the following figure class=

Respuesta :

bhadelsimron19
bhadelsimron19 bhadelsimron19
  • 12-06-2021

Answer:

angle C =160 degree

Step-by-step explanation:

since the given triangle is an isosceles triangle their base angles must be equal. So,

x - 10 =x/2

2(x - 10) =x

2x - 20 = x

2x - x = 20

x = 20

for angle B

x - 10

20 - 10

10 degree

for angle A

x/2

20/2

10

For angle c

angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)

10 + 10 + angle C =180

20 + angle C =180

angle C =180 - 20

angle C =160 degree

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