Question

the sum of 2 triangles is 80 and their differences is 20 find all the angles

Answer 1

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Step-by-step explanation:

let the two angles be x and y

ATQ ,

x + y = 80 ....(1)

x - y = 20 ....(2)

adding (1) and (2)

2x = 100

x = 50°

putting this value in (1)

50 + y = 80

y = 30°

Since sum of all the angles of a triangle is 180° , so the third angle will be

= 180 - (50 + 30)

= 180 - 80

= 100 °

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Answer 2

Answer

Let angles = x, y

x + y = 80

x - y = 20 => x = 20 + y ..(1)

Put (1) in previous equation:

=> 20 + y + y = 80

=> 2y = 60

=> y = 30°

=> x = 50°

Third angle = 180 - ( x + y )

= 100°