Question

In an A-frame house, the two congruent sides extend from the ground to form a 52° angle at the peak. What angle does each side form with the ground?

Answer 1

Do you know what the interior angles of all triangles sum to?

Answer 2

no i dont but its a multiple choice question so here are my options:

A.138
B.64
C.69
E.128

Answer 3

So a basic fact of math is that the sum of all angles in any triangle is 180 degrees. does that help you solve the problem?

Answer 4

no not really.

Answer 5

OK. Well, let's start with a simpler problem. Let's say you know two of the angles in a triangle are 100 and 50 degrees. You want to find what the third angle is. Do you see how you can use the triangle fact I mentioned earlier to figure it out?

Answer 6

hello?

Answer 7

Yeah the answer to that would be 30 degrees because it all has to add up to 180

Answer 8

right exactly. so now let's go back to your problem. you know there are three angles, two of them are the same, the third is 52 degrees, and they all have to add up to 180.

Answer 9

Call the angle 'x' -- you get:52 + x + x = 180

Answer 10

Ohhh I got it! The answer is 64. Thank you :)

Answer 11

no problem!