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three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.give reaons for your answers

Sagot :

akposevictor

Using the angle relationships, the sizes of the angles are:

a = 21°

b = 70°

c = 89°

What are Angle Relationships?

  • Vertical angles are equal in measure.
  • Two angles on a straight line are linear pair and are supplementary.
  • All angles in a triangle will add up to the sum of 180 degrees.

Thus:

a = 21° (vertical angles).

b = 180 - 110 = 70° (linear pair).

c = 180 - (70 + 21) = 89° (triangle sum)

Therefore, using the angle relationships, the sizes of the angles are:

a = 21°

b = 70°

c = 89°

Learn more about angle relationships on:

https://brainly.com/question/12591450

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