Figure abcd is a parallelogram. what are the measures of angles b and c? ∠b = 15°; ∠c = 165° ∠b = 65°; ∠c = 115° ∠b = 65°; ∠c = 65° ∠b = 15°; ∠c = 15°

∠B = 65°; ∠C = 115°

Step-by-step explanation:

The first thing you to do is set ∠B and ∠D equal to each other.

The reason you do this is because the oppisite angles are equal to each other in a parallelogram.

Next, you want to start simplifying the equation (I personally like to start with the variables).

Then, you simplify again (you can combined these if you want but for example I am breaking it down more.

Then you dived by 3, and you get 15=n. Now (and people often forget this step) you have to plug it back in to solve for the equartion. ∠B=3(15)+20, ∠B=65. Now you have to subtract 65 from 180 because ∠B and ∠C are completmtry. 180-65=115=∠C

∠B = 65°; ∠C = 115°

Step-by-step explanation:

Just took the quiz, good luck (: