Question

A quadrilaterals consecutive angles measure (3x+10), (9x+50), (4x), and (13x+10). Determine the value of x.

Answer 1

The value of x is 10

Step-by-step explanation:

We know that the sum of internal angles of a quadrilateral is 360 degrees

So,

Given

Angle 1 = A1 = 3x+10

Angle 2 = A2 = 9x+50

Angle 3 = A3 = 4x

Angle 4 = A4 = 13x+10

So,

$A_1+A_2+A_3+A_4 = 360\\(3x+10)+(9x+50)+(4x)+(13x+10) = 360\\3x+10+9x+50+4x+13x+10 = 360\\3x+9x+4x+13x+10+50+10 = 360\\29x+70 = 360$

Subtracting 70 from both sides

$29x+70-70 = 360-70\\29x = 290$

Dividing both sides by 29

$\frac{29x}{29} = \frac{290}{29}\\x = 10$

Hence,

The value of x is 10

Keywords: Angles, Quadrilateral

Learn more about angles at:

• brainly.com/question/725998
• brainly.com/question/7128279

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