Question

In a right triangle, the acute angles measure 2x+50 and 3x degrees

Answer 1

Triangle int. angles add up to 180 degrees.
In a right triangle, there are 2 acute angles and 1 right angle.

Here are the angles given:
a1) 90°
a2) (2x + 50)°
a3) (3x)°

Use the equation of the sum of interior angles on a triangle and solve for x.

180 = a1 + a2 + a3
180 = 90 + (3x) + (2x + 50)
180 = 90 + 5x + 50
180 = 140 + 5x
  40 = 5x
  /5     /5
    8 = x

Therefore x = 8. Now we can put these values into the acute angles to get the measurement of all angles.

a1 = 90

a2 = 2x + 50
     = 2(8) + 50
     = 16 + 50
     = 66

a3 = 3x
     = 3(8)
     = 24

Therefore, the measurement of all the angles in the triangle is 90°, 66°, and 24°.

Proof:

180 = a1 + a2 + a3
180 = 90 + 66 + 24
180 = 156 + 24
180 = 180

So it is true. Hope I helped.

Answer 2

2x+50 + 3x= 90 degrees
5x +50 = 90
5x =40
x=8

Angle1= 2(8) +50= 66
Angle2= 3(8)=24

66+24+90= 180