Question

5. Find the measure of an angle which is 36 more than its complement
6. Find the measure of an angle which is 30 less than its supplement​

Answer 1

Answer:

1.27+36.

2.75

Step-by-step explanation:

Solution 1:

63°.

x +(x+36) = 90.

solve..x=27.

larger angle equals 63 i.e. 27+36.

Solution 2:

let 1 angle be x  

and other be x-30

x+x-30=180

2x-30=180

2x=210

x=210/2

x=105

one angle is 105  

then other is 105-30=75

Answer 2

5) Let one of the complementary angle be x

Another complementary angle be x + 36

x + x + 36 = 90

2x + 36 = 90

2x = 90 - 36

2x = 54

x = 54/2

x = 27

x + 36 = 27 + 36 = 63

Therefore the measure of the angle is 63

6) Let one of the supplementary angle be x

Another complementary angle be x - 30

x + (x - 30) = 180

x + x - 30 = 180

2x - 30 = 180

2x = 180 + 30

2x = 210

x = 210/2

x = 105

x - 30 = 105 - 30 = 75

Therefore the measure of the angle is 75