Question

Luis set up an A-frame ladder so that the angle formed between each side of the ladder and the ground is 125 degrees. What is the measure of the angle at the top of the latter? explain how you found your answer.

Answer 1

70°

found by considering A-frame ladder as a triangle

Explanation:

Given that,

angle form on either side of A-frame ladder with the ground = 125°(exterior)

As it is a A-frame ladder so its a triangle, we will find the angle at the top of ladder by using different properties of triangle

1) find interior angle form by A-frame ladder with the ground

125 + x = 180 sum of angles on a straight line

x = 180 - 125

x = 55°

2) find the angle on top of ladder

55 + 55 + y = 180 sum of angle of a triangle

110 + y = 180

y = 180 - 110

y = 70°