Question

TIMED. Please help!!!

AB is parallel to DE.
What is the measure of angle CAB?
Use the sketch tool if it helps you with your thinking.

Answer 1

Answer: 100 deg

AB is parallel to DE meaning and line BC is a transversal meaning angle DCB is equal to angle CBA

triangle ABC is equal to 180

subtract 43 and 37 which leaves you with 100

Answer 2

m∠CAB = 100°

Explanation:

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Therefore, as AB ║ DE and AC is the transversal:

⇒ m∠DCA + m∠CAB = 180°

⇒ 37° + 43° + m∠CAB = 180°

⇒ 80° + m∠CAB = 180°

⇒ 80° + m∠CAB - 80° = 180° - 80°

⇒ m∠CAB = 100°