Question

Neko made a triangular flag shown below. He wanted to attach it to the stick and then trim off the extra fabric so the flag would form an isosceles
triangle. By how many degrees was he off when he attached the triangle to the stick?
32
118
Ob
His flag ended up with base angles of 86 and 62. so the stick was 12 out of alignment from the correct position (both angles
74°).
His flag ended up with base angles of 86° and 52° so the stick was 22° out of alignment from the correct position (both angles
74°).
His flag ended up with base angles of 289 and 629, so the stick was 34 out of alignment from the correct position (both angles
62").
His flag ended up with base angles of 28 and 62° so the stick was 34 out of alignment from the correct position (both angles
34)
Od

Answer 1

Answer:

a. His flag ended up with base angles of 86° and 62°. so the stick was 12° out of alignment from the correct position (both angles

74°).

Step-by-step explanation:

First, let's calculate the measures of the base of the angles Neko ended up with.

The measure of the angle adjacent to the exterior angle = 180° - 118° = 62°

The measure of the other base = 180° - (62° + 32°) = 180° - 94° = 86°

So, Neko ended up with 86° and 62°.

To make a flag that is in the form of an isosceles ∆, it means the measure of the two bases most be equal to each other.

Since he measures the tip of the flag to be 32°, the measure of the remaining two equal bases ought to be (180 - 32)/2 = 148/2 = 74° each.

The difference between 74° and what he ended up with = 86 - 74 = 12°.

74 - 62 = 12°.

Therefore, the stick was 12° out of alignment.

The right option is a.