Question

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

Answer 1

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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Answer 2

Answer:

Step-by-step explanation:

90°-a+x=90°

-a+x=0

therefore,a=x