Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
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