Question

Question #0fe9b

Answer 1

smaller angle=70
larger angle=110

Explanation:

Let us write this problem in terms of x and y:

• where x is the smaller angle
• and y is the larger angle

We know that the large angle (y) is equal to 30-2*the smaller angle(x)
`y=2*x-30`

Knowing also that the angle are supplementary,
`rarr x+y=180`

Substituting y by its value in terms of x we get:
`x+(2*x-30)=180`
`x+2*x-30=180`
`3*x-30=180`

Adding 30 to both sides of the equation to isolate the unknown's term:
`3*x cancel(-30) cancel(+30)=180+30`
`3*x=210`

Dividing both sides of equation by 3 to isolate x:
`(cancel(3)*x)/cancel3=210/3`
`x=70`

`y=2*x-30`
`y=2*70-30=140-30=110`