Iam supposed to find the value of 'a' but i don't know why we add a third line. can someone explain to me how to solve it and why?

Step-by-step explanation:

It seems easiest to relate the angles if we can take advantage of the fact that alternate interior angles where a transversal crosses parallel lines are congruent. We can use this fact a couple of ways:

1. draw line CF to the right from point C parallel to AB and DE. Then angle BCF is 35°, matching angle CBA.

Angles FCD and CDE are supplementary, being same-side angles where transversal CD crosses parallel lines CF and DE. Hence angle FCD is 180° -120° = 60°.

Angle C is the sum of angles BCF and FCD, so is 35° + 60° = 95°. In short, ...

  a° = 95°

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2. We can extend lines BC and ED so they meet at point G, forming triangle CGD. The angle at G is an alternate interior angle with angle B where transversal BG crosses parallel lines AB and GE. Hence angle G is 35°.

Angle CDG is the supplement to angle CDE, so is 180° -120° = 60°. And angle a° is the sum of opposite interior angles CDG and CGD, so is ...

  a° = ∠CDG + ∠CGD = 60° +35°

  a° = 95°

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

the first one

step-by-step explanation:

just id the test.