Question

Please help w/ geometry!

Answer 1

Answer:

<XYZ = 34

Step-by-step explanation:

Remark

Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.

Equation

3x - 7 = 2x + 1

Solution

3x - 7 = 2x + 1                 Add 7 to both sides

3x - 7+7 = 2x +1+7          Combine

3x = 2x + 8                     Subtract 2x

3x-2x = 2x-2x + 8          Collect like terms on both sides

x = 8

Solution 2

Find one of the bisected parts. You can choose either of the two parts so use 2x + 1

2x + 1

2*8+1

16 + 1

17

WYZ = 17 degrees

Solution 3

Double <WYZ to get <XYZ

<XYZ = 2 * 17

<XYZ = 34 degrees