Question

find the measure of an angle which is 8 more than its complement

Answer 1

Answer:

The answer is $49^\circ$

Step-by-step explanation:

Let the angle be $x$

So its complement is $90^\circ-x$

Given the angle is $8^\circ$ more than its complement

$\Rightarrow x=90^\circ-x+8^\circ\\\Rightarrow x+x=98^\circ\\\Rightarrow 2x=98^\circ\\\Rightarrow x=\frac{98^\circ}{2}=49^\circ$

• Concept: Two angles are called  complementary if their sum is $90^\circ$