Question

Which pairs of following angles are complementary? (Fig 5.
70,20
75,25
48,52
35,55
(iv)
Fig 5.5
What is the measure of the complement of each of the following angles?
(i) 45°
(ii) 65°
(iii) 41°
(iv) 54
3. The difference in the measures of two complementary angles is 12". Find the measures of the angles.​

Answer 1

Hey Mate!!! here is your answer.....

Which pairs of following are complementary?
1) 70,20
Ans- Yes it is complementary because the total of 70 and 20 is 90.
2) 75,25
Ans- No it is not complementary because the total of 75 and 25 is not 90.
3) 48,52
Ans- No it is not complementary because the total of 48 and 52 is not 90.
4) 35,55
Ans- Yes it is complementary because the total of 35 and 55 is 90.

What is the measure of the complement of each of the following angles?
1) 45°
Ans. Complementary angle = 90°
Given digit- 45
Missing digit- x
90°= 45+x
x= 90-45
x= 45°
2) 65°
Ans. Complementary angle= 90°
Given digit- 65
Missing digit- x
90°= 65+x
x= 90-65
x=25°
3) 41°
Ans. Complementary angle= 90°
Given digit- 41°
Missing digit-x
90°= 41+x
x= 90-41
x= 49°
4) 54°
Ans. Given digit- 54°
Missing digit-x
90°= 54+x
x= 90-54
x= 34°

The difference in the measures of two complementary angles is 12". Find the measures of the angles.​
Ans. Complementary angle= 90°
Given digit- 12
Missing digit-x
90°= 12+x
x=90-12
x=78°

Hope it helps you.... May God bless you and you do well in studies
Thanks

Answer 2

1st

Answer:

(70,20) and (35,55) are the pairs of angles are complementary......as the sum of these two angles is 90 degrees

2nd Answer:-

1) complement angle of 45= 90-45

=45degrees

2) complement angle of 65=90-65

=25degrees

3) complement angle of 41=90-41

=49degrees

4) complement angle of 54=90-54

=36degrees

3rd Answer:-

Let one angle = X

another angle =x-12

Sum of these angles=90degrees

X+x-12=90

2x-12=90

2x=90+12

2x=102

X=102/2

X=51

THEN,

1st angle=X=51 degrees

2nd angle=x-12=39degrees

HOPE THE ANSWER HELPS YOU..........