shakiraanderson7
Answered

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In AUVW, mZU = (92 – 8), m_V = (2x + 2)", and m_W = (3x + 4)
Find m2V.

In AUVW MZU 92 8 MV 2x 2 And MW 3x 4 Find M2V class=

Sagot :

elcharly64

Answer:

[tex]m\angle V=30^\circ[/tex]

Step-by-step explanation:

Angles in a Triangle

The sum of the angles in a triangle is 180°. We are given the measure of all angles in the triangle:

[tex]m\angle U=9x-8[/tex]

[tex]m\angle V=2x+2[/tex]

[tex]m\angle W=3x+4[/tex]

Thus:

9x - 8 + 2x + 2 + 3x + 4 = 180

Simplifying:

13x - 2 = 180

Adding 2:

13x = 182

Dividing by 13:

x = 182/13 = 14

x = 14

Now we calculate:

[tex]m\angle V=2x+2=2*14+2=28+2 =30[/tex]

[tex]\mathbf{m\angle V=30^\circ}[/tex]

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