three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.give reaons for your answers
1 answer:
Using the angle relationships, the sizes of the angles are:
a = 21°
b = 70°
c = 89°
<h3>What are Angle Relationships?</h3>- 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:
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