Question

two adjacent angles on a straight line are in the ratio 5.4 then the measure of each one of these angles are ( 75and105, 60and120, 100and80, 90and90)​

Answer 1

Step-by-step explanation:

Correct option is

A

80

The adjacent angles on a straight line are in the ratio of 5:4.

Let the adjacent angles be 5x and 4x.

Now, 5x+4x=180

o

...{ Since adjacent angles on a straight line =180

o

}

⇒9x=180

⇒x=

9

180

⇒x=20

The adjacent angles are as follows:

5x=5×20=100

o

& 4x=4×20=80

o

.

Answer 2

Answer:

100° and 80°

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Step-by-step explanation:

given,

ratio of two adjacent angle of a straight line are on ratio 5:4

let the ratio to be 5x, 4x

We know that,

measure of adjacent angles on straight line is equal to 180°

so,

5x+4x= 180°

9x=180°

x=20°

then the two angles are 100° and 80°