Question

5. ZA and B are complementary angles. If ZA: ZB= 1:5, then find ZA and B.



6. ZX and XY are supplementary angles. If ZX:ZY= 23:13, then find ZX and ZY. 7

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Answer 1

Answer:

Here!

Step-by-step explanation:

ZA and ZB are complementary angles, hence their sum is equal to 90 degree.

Ratio of ZA:ZB = 1:5

Let the angles be 1x and 5x

1x+5x=90

6x=90

x=90/6

x=15

The angles are 1 x 15 = 15

Other angle = 5 x 15 = 75

ZX and XY are supplementary angles, hence their sum is equal to 180 degree.

Ratio of ZX:XY = 23:13

Let the angles be 23x and 13x

23x + 13x = 180

36x = 180

x = 180/36

x = 5

First Angle = 23 x 5 = 115

Second Angle = 13 x 5 = 65

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