Question

In a triangle 1 angle is thrice the smallest angle and it is also greater than the other angleby23 find the Angles​

Answer 1

Answer:

X = 29°

Y = 64°

Z = 87°

Step-by-step explanation:

Let X, y and z be three angles.

let X be the smallest angle and Z be thrice the smallest angle

i.e. Z = 3x

Also Z = X+23

Now

X + Y +Z = 180°

therefore X + Y + (3X) = 180°

solve above => Y = 180 - (4x). eq1

Also

X + Y + (Y+23) = 180°

solve above => X = 157 - ( 157 - 2Y). eq2

put eq2 in eq1

=> Y = 180 - 4(157- 2y)

solve above

=> Y = 64

And this way you get all the rest of the angles