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Find the value of x in this diagram, giving reasons.

Find the value of x in this diagram, giving reasons.-example-1
User RobertPitt
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In the figure, the value of x is 115

How to find the value of x

Create a line from x to 130 degrees

We have an equilateral triangle. This line divides x into 60 and 60-x

Using Isosceles triangle theorem, the fourth apex angle is x - 60

The sim of angles of a quadrilateral is 360, and we have the equation

x + 60 + 130 + x - 60 = 360

2x = 360 - 130

2x = 230

x = 115

User Celuk
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