Question

9. Two adjacent angles on a straight line are in the ratio 5: 4. Find the
measure of each one of these angles.​

Answer 1

Answer:

$Let \: the \: angles \: be \: x$

$5x \: + \: 4x \: = 180 \: degrees$

$9 \: x \: = 180 \: degrees$

$x \: = \: 180 \div 9$

$x \: = \: 20 \: degrees$

$x \: = \: 5 \: \times \: 20 \: degrees$

$x \: = \: 100 \: degrees$

$x \: = \: 4 \: \times \: 20 \: degrees$

$x \: = \: 80 \: degrees$

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Answer 2

Two adjacent angles on a straight line are in the ratio 5: 4. Find the measure of each one of these angles.

Solution :.

Sum of Two adjacent angles => 180°

One Angle => 5x

2nd Angle => 4x

A.T.Q

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5x + 4x => 180°

9x => 180°

x => 180°/ 9

x => 20°

_________________________

One Angle => 5 x (20) => 100°

2nd Angle => 4 x (20) => 80°

__________________________

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