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1 vote
A side of the triangle below has been

extended to form an exterior angle of 64°.
Find the value of x.
64°
to
49°

A side of the triangle below has been extended to form an exterior angle of 64°. Find-example-1
User Geemus
by
8.1k points

2 Answers

5 votes
  • Answer: X = 116 degrees

Therefore, The value of X:

X = 116 degrees

Explanation:

SOLVE:

SUM of ANGLES of TRIANGLES EQUALS TO 180 Degrees

Exterior Angle = Sum of Opposite Interior Angle

64 degrees = 49 degrees + y

y = 15 degrees

X + y + 49 degrees = 180 degrees

X + 15 + 49 degrees = 180 degrees

X = 180 degrees - 64 degrees

X = 116 degrees

DRAW A CONCLUSION:

Therefore, The value of X:

X = 116 degrees

I hope this helps you!

User Mike Sickler
by
8.2k points
4 votes

Answer: 116

Explanation:

supplementary angle = 180 degrees

180-64 = x

x=116

User Brian Keegan
by
8.1k points

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