Question

A. Find x. The figure is not drawn to scale.

b. Is the triangle equilateral, isosceles, or scalene? Explain.

Answer 1

Explanation:

a) The circumference of a circle is 360 degrees. so:

7x+15+8x+6x+30=360

21x+45=315

21x=135

x=15

b) This means 7(15)+15=120, 8(15)=120, and 6(15)+30=120. Thus, by the inscribed angle theorem, all the angles measure 60 degrees, and the triangle is thus equilateral and isosceles.