Question

∆IAM ~ ∆NOT. In ∆IAM, ∡A = 37° and in ∆NOT, ∡N = 43°. Find the measure of ∡O.

Answer 1

37°.

Explanation:

It is given that
`\triangle IAM \sim \triangle NOT`.

`\angle A=37^\circ`

`\angle N=43^\circ`

If two triangles are similar, then the measures of their corresponding angles are congruent.

`\angle O\cong \angle A`

`m\angle O=m\angle A`

`m\angle O=37^\circ`

Therefore, the measure of ∡O is 37°.