In the figure, bp is an angle bisector of ∠cbd. find x if m∠1 = 4x - 8 and m∠2 = 3x + 2.
a) 5
b) 7
c) 9
d) 10
i am spacing out the words of the link for the picture, so just put the symbols/letters into place. usatestprep. com /modules/questions /files /image/ 451840.j pg

Option D) 10

Therefore the value of x is 10.

Step-by-step explanation:

Given:

BP is an angle bisector of ∠CBD.

m∠1 = 4x - 8 and

m∠2 = 3x + 2.

To Find:

x = ?

Solution:

Angle Bisector:

A line that splits an angle into two equal angles.

Bisect means to divide into two equal parts.

Here, BP is an angle bisector of ∠CBD.

∴ m∠ 1 = m∠ 2

Substituting the given values we get

Therefore the value of x is 10.

yess

step-by-step explanation:

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