Question

a star patterned quilt has a star with the angles shown. what is the value of x? the diagram is not to scale.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°.

Step2: Set up an equation

Let's consider the triangle formed by the angles 34°, 105° and x. So, 34 + 105+x=180.

Step3: Solve the equation for x

First, add 34 and 105: 34 + 105 = 139. Then, x=180 - 139.
x = 41

Answer:

41