Answer:
m<1 = 130°
m<2 = 50°
Step-by-step explanation:
Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:
m<1 = 130° (alternate interior angle theorem)
Also,
130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,
m<2 + 130° = 180° (same side interior angles theorem)
m<2 = 180° - 130°
m<2 = 50°
Divident =divisor × quotient + remainder
24= divisor ×(divisor-2)+0
d^2-2d-24=0
d=6 or -4
quotient is 4 of -6
so there are two possibilities, 6 or -4
Distance of Foci = c
Then,
c = 4
As c^2 + b^2 = a^2
And, b = 3
Then us will have:
a^2 = 4^2 + 3^2
a^2 = 16 + 9
a^2 = 25
a = 5
The equation of ellipse to this question is:
x^2 / a^2 + y^2/b^2 = 1
Then,
x^2 / 25 + y^2 / 9 = 1