The 6 angles with vertex P are:
- Angle APB
- Angle APC
- Angle APD
- Angle BPC
- Angle BPD
- Angle CPD
The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.
First, let's simplify each expression by combining like terms:
A: 9x-3x-4 = 6x-4
B: 12x-4 = 12x-4 (Already Combined terms)
C: 5x+x-4 = 6x-4
When looking at the list of equations, it is clear that only Expression A and C are equivalent. Brianna failed to combine like terms and plug in more points than 0.
I Hope this Helps!
-Sinnamin
The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
<h3>Bisection of angles</h3>
Angles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Learn more on bisection of angles here: brainly.com/question/25770607
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Answer:
The answer is the second one.
