Question

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°

Answer 1

∠B = 65°; ∠C = 115°

Explanation:

Just took the quiz, good luck (:

Answer 2

∠B = 65°; ∠C = 115°

Explanation:

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

`3n+20=6n-25`

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).

`....3n+20=6n-25\\-3n.....-3n`

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

`....20=3n-25\\+25.......+25\\....45=3n`

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