Question

An angle is equal to one third of its supplement. Find its measure.​

Answer 1

Answer:

Answer:

45°, 135°

Step-by-step explanation:

supplementary angles:

Sum of any two angles equal to 180° is called supplementary angles.

Here,

Let \:one \:angle = xLetoneangle=x

Supplementary \: angle = 180-xSupplementaryangle=180−x

An angle is equal to one third of its supplement.(given)

x = \frac{180-x}{3}x=

3

180−x

\implies 3x = 180-x⟹3x=180−x

\implies 3x+x = 180⟹3x+x=180

\implies 4x = 180⟹4x=180

\implies x = \frac{180}{4}=45⟹x=

4

180

=45

Therefore,

One \:angle =x = 45\degreeOneangle=x=45°

supplementary angle = 180-45 = 135\degreesupplementaryangle=180−45=135°

Answer 2

Answer:

45 degrees and 135 degrees

Step-by-step explanation:

first we make the equation

which is

x/3 + x = 180

x(1+1/3)=180

x(4/3) = 180

x = 180 * 3/4

x = 135

135/3 = 45

hence the angles are 45 and 135

hope this helps you

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