Question

Can anyone help me with this All of them

Answer 1

Answer:

Hence x =  60 and y = 50

e = 85 degrees

f = 158 degrees

Step-by-step explanation:

1) The sum of the interiror angle of the triangle is equal to the exterior

Given

Interior angles = y and 70

Exterior angle = 120 degrees

According to the law;

y + 70 = 120

y = 120-70

y = 50°

Sum of angle in the triangle is 180

x + y + 70 = 180

x + 50 + 70 = 180

x + 120 = 180

x = 180-120

x = 60

Hence x =  60 and y = 50

2) The sum of angles on a straight line is 180 degrees

40 + 55 + e = 180

95 + e = 180

e = 180 - 95

x = 85 degrees

3) Sum of angle at a point is 360 degrees

Hence 130 + 36.8 + 35.2 + f= 360

130 + 72 + f = 360

202 + f = 360

f = 360 - 202

f = 158 degrees