x° = 10°
Solution:
In the given figure the angle L represents 90°.
The center ray splits 90° into two angles.
(3x + 6)° + (5x + 4)° = 90°
⇒ 3x° + 6° + 5x° + 4° = 90°
Combine like terms together.
⇒ 3x° + 5x°+ 6° + 4° = 90°
⇒ 8x°+ 10° = 90°
Subtract 10° on both sides of the equation.
⇒ 8x°+ 10° – 10° = 90° – 10°
⇒ 8x° = 90° – 10°
⇒ 8x° = 80°
Divide by 8 on both sides of the equation.
⇒ x° = 10°
Hence, the value of x° = 10°.
