Question

Triangle WXY has the interior and exterior angles shown below.

Answer 1

Answer:

The correct option is last one  77 degrees.

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Given:

Exterior angle = 122°

∠W = (2x-13)°

∠Y= x°

To Find:

∠W = (2x-13)° = ?

Solution:

Exterior Angle Property:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle W and Angle Y are the interior angles of Exterior angle 122°.

∴ $Exterior\ angle=m\angle W+m\angle Y$

Substituting the values we get

$122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45$

Now Substitute 'x' in angle W we get

$m\angle W=2\times 45 -13=77\°$

Therefore the measure angle W is 77 degrees.

Answer 2

Answer:

77

Step-by-step explanation:

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