Question

A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.

Answer 1

81°

Explanation:

x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:

`x + 24 = 105`

Subtract 24 from both sides

`x + 24 - 24 = 105 - 24`

`x = 81`

Value of x = 81°