Question

i) Find the value of x​

Answer 1

Answer:

Step-by-step explanation:

140 degree ( corresponding angle)

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Answer 2

Answer:

x = 85°

Step-by-step explanation:

The angle from which the ray is extended will be 180 - 140° = 40°

it is because sum of angles on a line = 180° (linear - pair axiom)

So,

According to angle sum property of a triangle,

Sum of all angles of a triangle = 180°

So,

x = 180 - (40 + 55) = 180 - 95 = 85°

therefore,

x = 85°

Also,

we can find the value of x by using EXTERIOR ANGLE PROPERTY

According to this property,

Exterior angle = sum of the angles which are opposite to the exterior angle.

So,

140° = 55° + x

Hence,

x = 85°

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