Question

If angle ABC =142find reflex angle ABC

Answer 1

Answer:

118 degree

Step-by-step explanation:

let the reflex angle or required angle be x

∠ ABC + ref. ∠ ABC = 360°

142° + ref. ∠ ABC = 360 °

                      ref. ∠ ABC =  360° + 142°

                      ref. ∠ ABC =  118°

thus, the required angle is 118°

Answer 2

The reflex angle of ABC is 218°.

Given:

∠ABC = 142°

To Find:

The Reflex angle of ABC

Solution:

A reflex angle is an angle that is less than 360 degrees but greater than 180 degrees.

The sum of a reflex angle and the corresponding angle that lies on the other side of it together form a complete angle of 360°.

⇒ reflex angle of ABC + ∠ ABC = 360°

⇒  reflex angle of ABC + 142°= 360°

⇒  reflex angle of ABC = 360° - 142°

⇒  reflex angle of ABC = 218°

Therefore, The reflex angle of ABC is 218°.

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