Question

two supplementary angles differ by 43. find the angles
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Answer 1

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✪QUESTION✪:-

two supplementary angles differ by 43.

find the angles

✪ANSWER✪:-

let the angles be

• x
• y

according to given condition ,

x - y = 43

x = y + 43➜(1)

➥sum of the supplementary angles = 180°

➥x + y = 180°

➥y + 43° + y = 180°[from (1) ]

➥2y + 43° = 180°

➥2y = 180° - 43°

➥2y = 137°

➥y = 137°/2

➥$\boxed{\sf{y = 68.5°}}$

(1)➜x = y + 43

➥x = 68.5 + 43

➥$\boxed{\sf{x= 111.5°}}$

therefore ,

• x = 111.5°
• y = 68.5°

✪VERIFICATION✪:-

sum of the supplementary angles = 180°

LHS

= x + y

= 111.5 + 68.5

= 180°

= RHS

therefore ,the resultant angles are verified .

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TYPES OF ANGLES :

(based on measurement):

COMPLEMENTARY ANGLES :

Two angles are called complementary when their measures add to 90°

SUPPLEMENTARY ANGLES :

Two angles are called supplementary when their measures add up to 180°

Answer 2

Step-by-step explanation:

find the supplementary angle of 43 degree s