Question

if the measure of an angle is twice the measure of its supplementary angles find the angle?
fast ,...

Answer 1

Answer:

Step-by-step explanation:

Supplement = 180 - angle measure. Supplementary angles add to 180 degrees.

So of the measure of the angle is x, the measure of its supplement is 2x.

x + 2x = 180

3x = 180

x = 60

Angle = 60, supplement = 120.

pls mark as brainliest

Answer 2

Answer :

›»› The angles of a supplementary angle is

Provided :

• The measure of an angle is twice the measure of its supplementary angles.

Find out :

• The angles of a supplementary angles.

Solution :

Let us consider that, the measure of supplementary angle is "x".

As it is provided that, the measure of an angle is twice the measure of its supplementary angles.

→ 2x.

As we know that

The sum of two angles of a supplementary angle is 180°.

→ x + 2x = 180

→ 3x = 180

→ x = 180/3

→ x = 60

Therefore,

The angles of a supplementary angle will be,

• x = 60°.
• 2x = 2 · 60 = 120°.

Hence, the angles of a supplementary angle is 60° and 120° respectively.

Verification :

The sum of two angles of a supplementary angle is 180°.

→ 60 + 120 = 180

→ 180 = 180

Clearly, LHS = RHS

Here, both the conditions satisfy, so our answer is correct.

Hence Verified !