Question

find the measure of an angle which is 36° more than its complement

Answer 1

Let the angle be x°.Then its complement angle is (90-x)°.
A.T.Q.
x=(90-x)+36
or,x=90-x+36
or,x+x=90+36
or,2x=126
or,x=126/2=63
Hence,the measure of the angle is 63°.

Answer 2

Answer:

the measure of an angle which is 36° more than its complement is 63°

Step-by-step explanation:

Let the angle be x

Complementary angles : A pair of angles whose sum is 90° are called complementary angles

So, Complement of x = 90°-x

Now we are given that the angle x is 36° more than its complement

So,$x=90^{\circ}-x+36^{\circ}$

$2x=126^{\circ}$

$x=\frac{126}{2}$

$x=63^{\circ}$

Hence the measure of an angle which is 36° more than its complement is 63°