Answer:
x=25°, y=10°
Step-by-step explanation:
∠A+∠B=180°
8y+10y=180°
18y=180°
y=10°
∠B+∠C=180°
10y+4x-20°=180°
10*10°+4x=180°+20° (y=10°)
100°+4x=200°
4x=200°-100°
4x=100°
x=25°
Step-by-step explanation:
In the plane geometry Abeka, second edition, it is given :
Principle 2 states that between any two points, only one straight line can be drawn.
And according to principle 3 two straight lines interacts at one point only.
Thus this can be well illustrated by two straight lines which are represented by the streets of a city and these two streets intersects at a point.
D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.
For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.