an angle measures 10* less than the measure of its complementary angle. find the measure of both angles

Original Angle = 40 degrees, Complementary Angle = 50 degrees.

Step-by-step explanation:

1. Set the complementary angle as Angle A and the original angle as Angle B.

2. Due to complementary relationships:

A + B = 90

3. Due to given information:

A - 10 = B

4. Substitute:

A + (A - 10) = 90

5. Simplify, Solve

2A - 10 = 90

2A = 100

A = 50 degrees (This is the complementary angle)

B = 90 - A = 40 degrees

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.