Question

The measure of the supplement of angle A is 40° larger than twice the measure of the complement of the angle of A.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

➠Appropriate Question:-

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The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle of A. What is the sum in degrees, of the measures of the supplement and complement of angle A ? 

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➠Solution:-

Let x be the measure of angle A.

Then,

supplement of angle A  =  180° - x 

complement of angle A  =  90° - x 

⇒Given : 

The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle of A. 

That is, 

⇒(180° - x) is 40° more than 2(90° - x)

⇒180 - x  =  2(90 - x) + 40

⇒180 - x  =  180 - 2x + 40

Subtract 180 from each side. 

⇒- x  =  - 2x + 40

Add 2x to each side.

⇒x  =  40

Then, supplement of angle A is

⇒  180 - x

⇒  180 - 40

⇒  140°

Complement of angle A is

⇒ 90 - x

⇒ 90 - 40

⇒  50°

The sum of supplement and complement of angle A is 

⇒ 140° + 50° 

⇒  190°

So, the sum of supplement and complement of angle A is 190° degrees.