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
You would divide negative 3 (-3) from both sides to keep the c by itself. When you divide a positive by a negative it becomes negative.
Dividing 15 by -3 would equal -5, so c = -5
Use substitution
y = 2(-y + 6)
y = -2y + 12
3y = 12, y = 4
4 = 2x, x = 2
Solution: x = 2, y = 4
