Question

Based on the given figure, prove that if a transversal intersects two parallel lines, then alternate interior angles have equal measure.Question: What is the missing statement in Step 3?

Answer 1

The angle c and angle g are pair of corresponding angles. So,

`\angle c\cong\angle g`

As angle c and angle g are equal. So sum of angle f and angle g can be expressed as sum of angle f and angle c.

Thus missing statement for step 3 is,

`\angle c=\angle g`