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Aneli [31]
1 year ago
6

ABC = 25x + 34 CBD= 11x +23 Find ABD CBD and ABC

Mathematics
1 answer:
mote1985 [20]1 year ago
5 0

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

#SPJ1

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The two possible answers are w = 3 and w = -1/5

These answers can be obtained through solving to the absolute value symbols. 

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AND

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5w = -1
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