m∠AOB = 28, m∠BOC = 3x-2, m∠AOD = 6x
m∠AOB = 4x+3, m∠BOC = 7x, m∠AOD = 16x-1
I don't know what to do. so don't got an answer to share
No worries! I'm here to help you out. It seems like you have two sets of angle measurements in two different scenarios: one with angles labeled AOB, BOC, and AOD, and another with angles labeled AOB, BOC, and AOD as well.
To solve for the values of x and the individual angle measurements, you need to set up an equation based on the information given and then solve for x. Let's go step by step:
1. Set up the equation for the first scenario:
- m∠AOB + m∠BOC + m∠AOD = 180 (angles in a triangle sum to 180 degrees)
- Substitute the given angle measurements:
28 + (3x-2) + 6x = 180
2. Solve the equation for x:
- Combine like terms and solve for x:
9x + 26 = 180
9x = 180 - 26
9x = 154
x = 154/9
3. Substitute the value of x back into the equation to find the angle measurements:
- m∠AOB = 4x + 3
- m∠BOC = 7x
- m∠AOD = 16x - 1
Replace x with 154/9:
- m∠AOB = 4(154/9) + 3
- m∠BOC = 7(154/9)
- m∠AOD = 16(154/9) - 1
4. Simplify and calculate the angle measurements.
Repeat the same steps for the second scenario using the given angle measurements and solve for x. Then, substitute the value of x back into the equation to find the angle measurements.
In this way, you can find the values of x and the individual angle measurements for both scenarios.
How are A,B,C,D related?
If the largest angle is bisected or trisected, then each part has equal measure, so set up equations to find x.