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Examine triangle ABC.

What is the value of x?

37
48
127
138

Examine triangle ABC. What is the value of x? 37 48 127 138-example-1
User Steve Neal
by
5.7k points

2 Answers

2 votes

Answer:

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Explanation:

User Koen Meijer
by
5.9k points
5 votes

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Set up the equation with what we know:

X + (x+5) + 101 = 360

Simplify:

2x + 106 = 360

Subtract 106 from both sides:

2x = 254

Divide both sides by 2:

x = 254 / 2

x = 127

User Amitchd
by
5.3k points