Question

what does this mean when a rhombus is split into 2 triangles ; what's the formula to find the value of x? also it's about polygons

Answer 1

Answer/Step-by-step explanation:

The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.

Therefore:

The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.

✅Formula to find the value of x:

(8x - 6) + 2(4x + 5) = 180° (sum of triangle)

8x - 6 + 8x + 10 = 180

8x + 8x - 6 + 10 = 180

16x + 4 = 180

16x + 4 - 4 = 180 - 4

16x = 176

16x/16 = 176/16

x = 11