Question

Geometry triangle question ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

• x = 44 1/3°
• 4x = 177 1/3°
• 2x = 88 2/3°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.

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interior angles

The interior angle at the right end of the line is the supplement of 4x:

  180° -4x

The interior angle at the left end of the line is the supplement of 2x:

  180° -2x

angle sum

  86° +(180° -4x) +(180° -2x) = 180°

Then the solution to the triangle is ...

  266° = 6x . . . . . . . . . add 6x-180°

  x = 266°/6 = 44 1/3° . . . . . divide by 6

• exterior angle 4x = 177 1/3°
• exterior angle 2x = 88 2/3°
• interior left side angle 180° -88 2/3° = 91 1/3°
• interior right side angle: 180° -177 1/3° = 2 2/3°