The corners MNK and KNP are adjacent. MNK is 35 degrees less than KNP. Find these corners.

Adjoining angles add up to 180 °.

Let’s denote the smaller angle MNK as x, then the angle KNP will be (x + 35).

We write down the equality <MNK + <KNP = 180 °.

Solve the equation x + x + 35 ° = 180 °,

2x + 35 ° = 180 °,

2x = 180 ° – 35 °,

2x = 145 °,

x = 145 °: 2,

x = 72.5 ° – <MNK.

<KNP = 180 ° – 72.5 ° = 107.5 °.

Answer: 72.5 ° and 107.5 °.