Question

ZC = 2 ZB, ZB + ZC = 75°, ZA = ?, ZB = ?, ZC = ?.
please help with explanation ​

Answer 1

ZC= 2ZB, ZB + ZC = 75°

ZB + ZC = 75°

ZB + ZB + ZB = 75° ( ZC = 2ZB)

3ZB = 75°

ZB = 75/3

ZB = 25°

ZB + ZC = 75°

25 + ZC = 75° ( ZB = 25°)

ZC = 75 - 25

ZC = 50°

(As it has 3 sides A, B and C it is a triangle

so by angle sim property )

ZA + ZB + ZC = 180°

ZA + 25 + 50 = 180°

ZA + 75 = 180°

ZA = 180 - 75

ZA = 105°