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Answer: The measure of angles in degrees are : 81, 72, 27. Solution: suppose the angles of triangle are: x, y, z where x > y > z. given: x = 3 z ......................................................(1) y = x - 9 ....................................................(2) we have 3 unknowns (x, y, z) with only two equations, in this case there is no solution. So we have to think in additional related equation: there is a rule for the Sum of Angles Inside a Triangle: x + y + z = 180 .........................................(3) Now we can solve these three equations to obtanin x, y and z: from eq. (1): z = x/3 ......................................................(2`) substitute eq. (2) and eq. (2`) in eq. 3: x + (x-9) + x/3 = 180 multiply last equation by 3: 3 x +3x - 27 + x = 540 7 x - 27 = 540 add 27 to both sides: 7 x =567 divide both sides by 7: x = 567/7 x = 81. substitute in eq. (2) y = 81 - 9 y = 72.substitute in eq. (2`): z = 81/27 z = 27. so the measure of angles in degrees are : 81, 72, 27.

Q: A triangle is such that the largest angle is three times the smallest angle The third angle is 9 degrees less than the largest angle Find the measure of each angle?

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80

It is 90 degrees

135 degrees.

It is 31.0 degrees.

90o. Let A be the size of the smallest angle. Then the three angles are A, A & 2A. The sum of the angles in a triangle is 180o, thus: A + A + 2A = 180o 4A = 180o A = 45o So the largest angle is 2A = 2 x 45o = 90o.

Related questions

80

It is 90 degrees

54 degrees

135 degrees.

It is 31.0 degrees.

The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite the longest side.

The three angles are 40, 50 and 90 degrees.

The smallest angle would be = 38 degrees. Proof: Base angles of an isosceles triangle must equ All angles of the triangle must add up to 180 degress considering that the known angle is not under 89 degrees the other two must equal, yet both add up to 76 degrees.

90o. Let A be the size of the smallest angle. Then the three angles are A, A & 2A. The sum of the angles in a triangle is 180o, thus: A + A + 2A = 180o 4A = 180o A = 45o So the largest angle is 2A = 2 x 45o = 90o.

It is an acute angle which is greater than 0 but less than 90 degrees

shortest side

in a 30-60-90 right triangle, a right angle is always 90 degrees, the smallest angle has a measure of 30 degrees, and the remaining angle measures 60 degrees.