Question

A, B and C lie on a straight line.

Given that angle
y
= 120° and angle
z
= 283°, work out
x
.

Answer 1

Ok so we know that a straight line is 180 and so

y+something=180

180-120=60

so that part of it is 60

then we know that all the way around a circle is 360 so

z+somethine=360

360-283=77

and all the angles equals 180 so

60+70+x=180

add

130+x=180

-130

x=50

Hope This Helps!!!

Answer 2

x = 43°

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

The angle around C = 360°

Then angle inside Δ at C = 360° - 283° = 77°

y is an exterior angle of the triangle , then

y = x + 77°

120° = x + 77° ( subtract 77° from both sides )

43° = x