The two angles, 2x + 6 and 96 are opposite angles.
Opposite angles are equal, so
2x + 6 = 96
2x = 96 - 6
2x = 90
x = 90÷2
x= 45
Secant and tangent theorem: Square of measure of tangent is equal to the product of length of whole secant and length of exterior secant segment, i.e.
.
The whole secant wuth exterior secant 4 cm is 4+x cm. Tangent is 7 cm. Using previous theorem, you can get that
.
Solve this equation:
cm.
Answer: x=8.3 cm.
Answer:
Total number of spaces in the shape: 6 spaces.
Red: 3/6
Blue: 2/6
Orange: 1/6
<span>The sum of the two sides of the triangle must be greater than the third side, so
11 < third side < 21</span>