In the figure, a||b, and both lines are intersected by transversal t. Complete the statements to prove that m∠1 = m∠5.

a||b (given)

m∠1 + m∠3 = 180° (Linear Pair Theorem) m∠5 + m∠6 = 180° (Linear Pair Theorem) m∠1 + m∠3 = ∠5 + ∠6 (_)
Transitive property of equality
Alternate interior angles theorem
Alternate exterior angles theorem
vertical angles theorem
m∠3 = m∠6 (_)
Alternate exterior angles theorem
Alternate interior angles theorem
vertical angles theorem
Transitive property of equality
m∠1 = m∠5 (Subtraction Property of Equality)

30

step-by-step explanation:

idk

i hope i

, 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

35 is an outlier

step-by-step explanation: