Respuesta :

ADVENTUROUSBOY

x = 9

Step-by-step explanation:

74° + 35° + ( 6x + 17° ) = 180°

6x + 17° = 180° - 74°- 35°

6x + 17° = 180° - 109°

6x + 17° = 71°

6x = 71° - 17°

6x = 54

x = 54÷6

x = 9

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Topic :-

Triangles

Given :-

A diagram with angles 74°, 35° and ( 6x + 17 )°.

To Find :-

Value of x.

Concept Used :-

Sum of all angles in a triangle is 180°.

Solution :-

Sum of all angles in a triangle = 180°

74° + 35° + 6x + 17° = 180°

6x + 74° + 35° + 17° = 180°

6x + 126° = 180°

6x = 180° - 126°

6x = 54°

x = 9

Answer :-

So, value of x is 9.

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