The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
<h3>Theorems</h3>
The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
<h3>Solutions</h3>
Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...
If sandwiches are 6 dollars each, then chips are 3 dollars, she only bought 5 sandwiches for 6 each for 30 dollars(5*6=30).So, she has 12 dollars left to spend since she spent 42 dollars. And 4 *3=12so she only bought 4 bags of chips.
