Question

Two complementary angles differ by 8 find the angles

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let us assume

First angle - x°

Second angle - (x + 8)°

We know that the sum of the complementary angles is 90°

Then,

$\large {x + (x + 8) = 90°}$

$\large{x + x + 8 = 90}$

$\large2x = 90 - 8$

$\large{2x = 82}$

$\large {x = \frac{82}{2}}$

$x = 41$

First angle = 41°

Second angle = 41 + 8 = 49°