what is angle y and why ?? when b is 90

You have to sit calmly and quietly and look over this one for a few minutes, until you see what's going on.
When the top triangle got flopped over to make the bottom one, the 12-cm side on top made another 12-cm side on the bottom.
Also, the short 6-cm piece made another 6-cm piece hooked onto it, and when those are put together, they make 12-cm all together.
So now, look at the whole outside triangle that you have, after the two inside ones are put together. The top slanty side is 12-cm, the bottom slanty side is 12-cm, and the straight up-and-down side is also 12-cm. The new big triangle is an equilateral triangle !
What do you know about an equilateral triangle ?
-- All three sides are the same length. -- All three angles are the same size.
If all three angles are the same size, how big is each one ?
Hint: The three angles of every triangle add up to 180 degrees.
So angle-y must be 1/3 of 180 = 60 degrees.

Answered by AL2006 | 2024-06-10

Angle y can be determined by knowing the measure of the other angle in the triangle along with the fact that angle b is 90 degrees. The two remaining angles must sum to 90 degrees, making it possible to use simple algebra to find angle y. If the other angle is known, subtract it from 90 to find angle y.
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Answered by AL2006 | 2025-04-07