Answer/Step-by-step explanation:
Problem 1:
✔️Type of angle = right angle
✔️Equation: (x + 4) + (3x + 2) = 90°
✔️value of x:
x + 4 + 3x + 2 = 90
Add like terms
4x + 6 = 90
4x = 90 - 6
4x = 84
x = 84/4
x = 21
✔️Angle 1 (x + 4):
Plug in the value of x
Angle 1 = 21 + 4 = 25°
✔️Angle 2 (3x + 2):
Angle 2 = 3(21) + 2 = 63 + 2 = 65°
Problem 2:
✔️Type of angle = right angle
✔️Equation: x + 2x = 90°
✔️value of x:
x + 2x = 90
Add like terms
3x = 90
x = 90/3
x = 30
✔️Angle 1 (x):
Angle 1 = x = 30°
✔️Angle 2 (2x):
Angle 2 = 2(30) = 60°
Problem 3:
✔️Type of angle = right angle
✔️Equation: (3x + 6) + 4x = 90°
✔️value of x:
3x + 6 + 4x = 90
Add like terms
7x + 6 = 90
7x = 90 - 6
7x = 84
x = 84/7
x = 12
✔️Angle 1 (3x + 6):
Plug in the value of x
Angle 1 = 3(12) + 6 = 42°
✔️Angle 2 (4x):
Angle 2 = 4(12) = 48°