Question

The measure of an angle is 30 degrees more than twice the measure of its supplement. Find the measure of its complement.

Answer with explaination

Answer 1

Answer:

Step-by-step explanation: let measure be x degree

x - 2 (180 -x)=30

3x =30+360=390

x=390/3=130

Hence angle =130

Answer 2

Given:

The measure of an angle is 30 degrees more than twice the measure of its supplement

To find:

The measure of the angle's complement

Solution:

The complement does not exist.

Let the angle be X.

Angle+angle's supplement=180°

X's supplement=(180°-X)

From the given information,

X=30°+2(180°-X)

X=30°+360°-2X

3X=390°

X=130°

Now, X+X's complement=90°

X's complement=90°-X

=90-130°

= -40°

This cannot hold since a complementary angle cannot be negative.

Therefore, the complementary angle does not exist.