1.

The complement of (90° - a) is _______.

Answer»

The complement of (90° - a) is a^{\circ}

SOLUTION:

Given that we have to find complement of (90° - a)

Let US first UNDERSTAND about complement angles

Two Angles are Complementary when they ADD up to 90 degrees (a RIGHT Angle)

If a and b ( in degrees) are two complement angles, then a + b = 90 degrees

From given information,

One of complement angle = (90° - a)

Let the other complement angle be x

Then by above definition of complementary angles,

\begin{aligned}&90^{\circ}-a+x=90^{\circ}\\\\&-a+x=0\\\\&x=a\end{aligned}

Thus the another complementary angle is a^{\circ}

Learn more about complementary angle

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