Respuesta :

complementry angles sum up to 90.
so, (x+5)+(4x-15)=90
x+4x+5-15=90
5x-10=90
5x=90+10
x=100/5
x=20

Based on the calculations, the value of x will be equal to 20°

First and foremost, we should note that the total angles in a complementary angles equal to 90°.

In this case, we have to add the two angles that we are give and then equate them to 90°. This will be:

(x + 5°) + (4x - 15°) = 90°

x + 5° + 4x - 15° = 90°

Collect like terms

x + 4x = 90° - 5° + 15°

5x = 100°

x = 100°/5

x = 20°

Therefore, based on the calculations, the value of x is 20°

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