Angle WXZ = 23°
Explanation:
Angle WXZ and angle YXZ are complementary angles.
Complementary angles sum up to 90 degrees
Angle WXZ = (2x + 1)°
Angle YXZ = (7x - 10)°
Angle WXZ + Angle YXZ = 90°
(2x + 1)° + (7x - 10)° = 90°
2x + 1 + 7x - 10 = 90
collect like terms:
2x + 7x + 1 - 10 = 90
9x - 9 = 90
add 9 to both sides:
9x - 9 + 9 = 90 + 9
9x = 99
divide both sides by 9:
9x/9 = 99/9
x = 11
Angle WXZ = (2x + 1)° = 2(11) + 1
Angle WXZ = 23°
