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Plz Help!

This triangle has one side that lies on an extended line segment.

Based on this triangle, what statement about x is true?

x= 33 because 180 – 147 = 33


x = 62 because 147 – 85 = 62 and 85 + 62 = 147


x = 95 because 180 – 85 = 95 and 85 + 95 = 180


x = 118 because

180 147 + 85

33 + 85

=118

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lublana

Answer:

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147

Step-by-step explanation:

We are given that

[tex]\angle ABC=85^{\circ}[/tex]

Exterior angle=[tex]147^{\circ}[/tex]

We have to find the value of x.

We know that

Exterior angle=Sum of opposite interior angles of triangle

Using the property

[tex]x+85=147[/tex]

Subtract 85 from both sides we get

[tex]x=147-85[/tex]

[tex]x=62[/tex]

Option B is true.

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147

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