Please help i need the answers for a test and how to work em out for the future

Given: The angles as shown in the image

To Determine: The measure of angle DEF

Solution

It can be observed that

Question 12

Given:

To Determine: The measure of angle HIU

Solution:

It can be observed that

Therefore, the measure of angle HIU would be

Hence, the measure of angle HIU is 30⁰

, 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