Question

The difference between the obtuse angle and one of the acute angle of a triangle is 20 degree.The diff between the acute angles of a triangle is 56 degree. Find the angles.​

Answer 1

Answer:

16° , 72° , 92°

Step-by-step explanation:

Let the acute angles are x and y

Obtuse angle = 180-(x+y)

A/Q

Part 1:

x-y=56

x=56+y  ---------  1

Part 2:

180 - (x+y) - x = 20

(Substituting value of x from eq. 1)

180 - (56+2y) - (56 + y) = 20

180 -56 -2y -56 - y = 20

180-56-56-20  =  3y

48 = 3y

48/3 = y

16° = y

Angles are :

y = 16°

x = 56+16 = 72°

Obtuse angle = 180 - ( 16+72) = 180-88 = 92°

Answer 2

Answer:

obtuse angle and acute angle

Step-by-step explanation:

1+678-*&/)(

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