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.
