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

1.	An angle is equal to one third of its supplement. Find its measure.
Answer» 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»

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=

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=

180

=45

Therefore,

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

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

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