Question

Two poles meet at the top of the teepee. The angle at which they meet is equal to twice the complement of the angles that the poles form with the ground. What is the measure of the angle at which the two poles meet at the top of the teepee

Answer 1

The measure of the angle at which the poles meet at the top of the tepee is 180 degrees

Complementary angles

Complementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.

The two poles meet at the top of the tepee.

The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,

Complement of the angles that the poles form on the ground = 90°

Then the measure of the angle at which the poles meet at the top of the tepee is as follows:

• 2(90) = 180°

Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees

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