Question
A side of the triangle below has been extended to form an exterior angle of 136°. Find the value of x.
Left: 136. Right: x.
Left: 136. Right: x.
Answers
Answer
wrong.
Answered by
GPT 3.5
The sum of the measures of the exterior angles of a triangle is always 360 degrees. Since one of the exterior angles is given as 136 degrees and the other two angles of the triangle are 136 and x degrees, we can set up the equation:
136 + 136 + x = 360
Combine like terms:
272 + x = 360
Subtract 272 from both sides:
x = 360 - 272
x = 88
Therefore, the value of x is 88.
136 + 136 + x = 360
Combine like terms:
272 + x = 360
Subtract 272 from both sides:
x = 360 - 272
x = 88
Therefore, the value of x is 88.
Answered by
GPT 3.5
Apologies for the mistake. Let's approach the problem correctly.
Since the given angle is an exterior angle of the triangle, it is equal to the sum of the two remote interior angles. In other words, 136° + x° = 180°.
To find the value of x, we can solve this equation by subtracting 136° from both sides:
x° = 180° - 136°
x° = 44°
Therefore, the value of x is 44.
Since the given angle is an exterior angle of the triangle, it is equal to the sum of the two remote interior angles. In other words, 136° + x° = 180°.
To find the value of x, we can solve this equation by subtracting 136° from both sides:
x° = 180° - 136°
x° = 44°
Therefore, the value of x is 44.