The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. find the measure of both angles. use integers only

36° and 54°

Step-by-step explanation:

We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.

We are to find the measure of both angles.

Assuming to be the other small angle, 8 less than twice the measure of the other small angle = .

Summing all three angles up ti get:

x = 36°

So other angle will be 54°.

36° and 54°

Step-by-step explanation:

let x be one of the smaller angles, then the other smaller angle is 2x - 18 ( 18 less than twice the other )

Since it is a right triangle then the sum of the 2 smaller angles equals 90, so

x + 2x - 18 = 90

3x - 18 = 90 ( add 18 to both sides )

3x = 108 ( divide both sides by 3 )

x = 36

One angle = 36°

the other angle = (2 × 36) - 18 = 72 = 18 = 54°

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step-by-step explanation: