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natka813 [3]
3 years ago
15

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 th

e measure of the angle at the top of the latter? explain how you found your answer.

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

70°

found by considering A-frame ladder as a triangle

Step-by-step 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°

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