The angles relationship represents complementary angles. The value of x is equal to 17°.
In Mathematics, a complementary angle refers to two angles or arc whose sum is equal to 90 degrees (90°).
Mathematically, a complementary angle can be calculated by using this mathematical expression:
Q + R = 90°
Where:
Q and R are measure of the angles subtended.
For the value of x, we have the following equation;
22° + 4x = 90°
4x = 90° - 22°
x = 68/4
x = 17°.