Respuesta :

Heather

Answer: x = 55°

Step-by-step explanation:

    Since this is a triangle, we know that all angles will add up to 180°.

-> Vertical angles gives us one equal to 35°

-> Vertical angles also gives us one equal to x°

-> The box, showing this is a right triangle, represents 90°

180° - 90° - 35° = x

55° = x

x = 55°

Ver imagen Heather
genan

Answer:

x = 55°

Step-by-step explanation:

A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.

So we are give 2 out of the 3 angles trhat sum up to 180

- its very clear there is a 90 degree angle indicated by the right angle

- due to vertical angle rule the opposite side of the 35 degree angle is also 35 degrees

90 + 35 + x = 180

 125 + x = 180

- 125         -125

x = 180 - 125

x = 55

due to the same logic as the 35 degree angle of opposite vertical angles and are thus congruent which means angle x is also 55°.

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