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Please answer me quickly!

Please answer me quickly!-example-1
User Helgetan
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1 Answer

3 votes

Answer:

x = 35

Explanation:

consider the triangle on the left

the left vertex and 36° are vertically opposite angles and are congruent.

the right vertex = 180° - (36 + 38)° = 180° - 74° = 106°

consider the triangle on the right

right vertex and 109° are a linear pair and sum to 180°

right vertex = 180° - 109° = 71°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

106° is an exterior angle of the triangle on the right , that is

x + 71 = 106 ( subtract 71 from both sides )

x = 35

User Otakustay
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