342,622 views
45 votes
45 votes
In Exercises 4 and 5, find the angle measure. 4. 21 is a complement of 22, and 7222 = 36. Find mZ1 5. 23 is a supplement of 24, and m44 = 75° Find m23

In Exercises 4 and 5, find the angle measure. 4. 21 is a complement of 22, and 7222 = 36. Find-example-1
User Yevhen
by
3.1k points

1 Answer

21 votes
21 votes

4. According to the given data we have the following:

The angles ∠1 and ∠2 are complementary, or adjacent angles that form a right angle.

Therefore, if m∠2=36, hence to find m∠1 we would make the following calculation:

m∠1 + m∠2 = 90

Substitute

m∠1 + 36 = 90

m∠1=90-36

m∠1=54

m∠1 would be 54

5. According to the given data we have the following:

The angles ∠3 and ∠4 are supplementary or form a linear pair

Therefore, if m∠4=75, hence to find m∠3 we would make the following calculation:

m∠3 + m∠4 = 180

m∠3 + 75=180

m∠3=180-75

m∠3=105

m∠3 would be 105

User Barry Gallagher
by
3.2k points