Question

In a right angle triangle, apart from the right angle, the other two angles are (3x + 2) and (6x + 7). Find the measure of each angle

Answer 1

The angles in the right triangle are calculated to be 29 degrees and 61 degrees, aside from the right angle of 90 degrees.

Step-by-step explanation:

In a right-angled triangle, the sum of the three angles always equals 180 degrees. Given the other two angles as (3x + 2) degrees and (6x + 7) degrees, we can set up the equation:

90 + (3x + 2) + (6x + 7) = 180

Simplify and solve for x:

9x + 9 = 90

x = 9

Now we substitute x back into the angle expressions to find their measures:

(3x + 2) = (3*9 + 2) = 29 degrees

(6x + 7) = (6*9 + 7) = 61 degrees

Therefore, the angles of the right triangle are 29 degrees and 61 degrees, along with the right angle which is 90 degrees.