Which statement would be included in a proof of why m angle C+M Angle G+m angle H= 180°?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles Fand C are congruent.

d

Step-by-step explanation:

First you have to know that angles in a straight line add up to 180°

∴ A+F+E = 180°

Also corresponding angles are equal.

∴ H = A

G = E

Direct opposite angles are equal. That is C = F.

This means that Angles F and C are congruent.

With this prove, we can conclude that;

G+C+H = 180°

G, C, and H are interior angles and they add up to 180°

.

step-by-step explanation:

.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for