HEL Angles 1 and 2 are complementary. If ∠1 measure 29.6°, then what is the measure of ∠2?

29.6*

Step-by-step explanation:

complementary angels are on the same side of the transversal, one is exterior and one is interior, and its always the same angel.  

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

, 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