Question

If one of the angles forming a linear pair is four times that of the other then find the angles

Answer 1

Let one of the angles be x
The bigger angle = 4x

According to question,
4x + x = 180°
=> 5x = 180°
=>x = 180°/5 = 36°
The bigger angle = 36° × 4 = 144°


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Answer 2

Answer:

The required angles are 144° and 36°.

Step-by-step explanation:

Let the measure of the other angle be y.

According to the question,

The measure of one of the angle is four times that of the other angle, i.e.,

The first angle = 4 × the other angle

                         = 4 × y

                         = 4y

Also,

Both the angles forming a linear pair of the angles, i.e.,

The first angle + The other angle = 180°

⇒ 4y + y = 180°

⇒ 5y = 180°

⇒ y = 36°

Thus,

The measure of the first angle = 4y

                                                   = 4 × 36°

                                                   = 144°

The measure of the other angle = 36°

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