Question

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

Answer 1

angle C =160 degree

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