Question

Question in the picture!!!!!!!!

Answer 1

<a and <c are vertical, and equal in measure

<c and <b are supplementary

< a and <b are supplementary and adjacent

Explanation:

<a and <c are vertical and do have the same angle

<c and <b are supplementary because both of the angles equal 180 degrees

<a and <b are supplementery so they both equal 180 degrees and they also share a vertex so the are also adjacent

the las answer is wrong because the definition of vertical angles is two angles that intersect each other and are not adjacent. and angles <c and <a are not adjacent

Answer 2

∠A and ∠C are vertical and equal in measure

∠C is adjacent to the angle that is 27°

∠C and ∠B are supplementary

∠A and ∠B are supplementary AND adjacent

All of them are correct

Explanation:

This is just how to find the angles.

"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet

The 27° and the 90° angles added up equal ∠B

∠B = 117°

360°-117°-117°=∠A & ∠C

∠A + ∠C = 126°

∠A=∠C=63°