Question

5
3. Two supplementary angles differ by 56º. Find
the angles.​

Answer 1

Answer:

118 and 62

Step-by-step explanation:

let angles be ∠x and ∠y

Acc. to ques,

∴x - y = 56

⇒x = 56 +y  .... (i)

acc. to question,

∴x + y = 180

(from i, x = 56 + y)

⇒56 + y + y = 180

⇒2y = 180 - 56 = 124

y = 124/2 = 62

∴y = 62° and

x = 62 + 56 = 118°

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Answer 2

Sum of supplementary angles = 180°

let the first angle be X then other angle is X+46

now , X+ X+46 = 180

2X = 180

X= 180/2

X = 90

first angle is 90°

another angle is 90+46 =136