Question

In a right triangle the two acute Angle's are in the ratio 1:5find the measures of the small acute angle

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Answer 1

Answer :

›»› The measures of the small acute angle is 15°

Given :

• In a right triangle the two acute Angle's are in the ratio 1:5.

To Find :

• The measures of the small acute angle.

Solution :

The acute angles are in the ratio 1:5

Let,

The first acute angle be "x" and the second acute angle be "5x"

As we know that

The measure of a right angled triangle is 90°

→ x + 5x = 90

→ 6x = 90

→ x = 90/6

→ x = 15

Therefore,

→ First angle = x

→ First angle = 15°

→ Second angle = 5x

→ Second angle = 5 * 15

→ Second angle = 75°

║Hence the measures of the small acute angle is 15°.║

Answer 2

Answer:

MEASURE OF SMALLEST ACUTE ANGLE IS 15°

Given:

In a right triangle two acute angles are in the ratio 1:5 .

To find:

Measure of smallest acute angle.

Solution:

Let the two acute angles be x and 5x.

Now we know that sum of all three angles of a triangle is 180°.

ATQ,

=>x+5x+90°=180°

=>6x+90°=180°

=>6x=180°-90°=90°

=>x=90°/6=15°

Hence,the measure of the smallest acute angle is 15°.