Are these statements true?
Pole(90 degrees latitude)’s summer solstice noontime solar angle equals to 43.5 degrees latitude’s winter solstice noontime solar angle, which the solar angles are both 23.5 degrees above the horizons Pole(90 degrees latitude)’s summer solstice has a 24 hrs daytime 43.5 degrees latitude’s winter solstice has a...
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answers:
Ronald 7 say: In a Nutshell
You are more or less right
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Raymond say: By definition:
The equator is a great circle located 90 degrees from the pole.
The (astronomical) horizon is a great circle located 90 degrees from the zenith.

At the pole, the celestial pole is exactly at the zenith. This means the celestial equator (declination = 0) matches the horizon.

In theory:
At the equinoces (March 21, September 22), the Sun's declination is exactly 0, therefore the centre of the Sun's disk should be exactly on the horizon ... and it would stay there all day.

At the June solstice, when the Sun's declination is 23.4 degrees north, an observer at the North pole would see the Sun at 23.4 degrees above the horizon. And it would stay there all day. At winter solstice, the Sun's declination is 23.4 degrees South, putting it 23.4 degrees BELOW the horizon.

Declination = angular distance between the celestial equator and the object.
In practice: the Earth's atmosphere refract the light from the Sun, so that the Sun appears a full degree higher that it really is, when it is close to the horizon.
Therefore, on March 21, the Sun will be seen (from the North pole) as being already one degree above the horizon (twice its apparent diameter) and will remain above the horizon all Spring and Summer, until it appears to be 1 degree above the horizon on Sept. 22.

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For intermediate latitudes, the longest daytime (sunlit) period is at summer solstice; the shortest daytime is at winter solstice.

At the equator, on any day, the theoretical duration of daylight is always 12 hours (in practice, you get a few minutes more, because of refraction).

The Earth's obliquity (the angle by which our rotation axis is tilted) is 23.4368 degrees. When the Sun's declination reaches that value (on summer solstice), sunlight can pass over the pole and graze Earth's surface up to (90 - 23.4368 =) 66.5632 degrees of latitude on the other side.
On a globe, this line is usually marked as a dotted line, and it is called the Arctic Circle (down South, the equivalent line is called the Antarctic circle).
Any region between the Arctic Circle and the pole will have some period of 24-hour days.
At the Arctic circle, this is only for one day (day of the solstice).

In practice, because of refraction, you can get the "midnight sun" a few miles south of the Arctic circle, and you will get two or three days of 24-hour daylight at the Circle itself.
[I once observed the midnight sun at latitude 66.33 N = 15 miles = 24 km south of the Circle]

At latitudes 23.4368 (North and South), the dotted lines are called the Tropics. The region between these two lines - including the equator - is called "The Tropics" (or the tropical region). It is the region where the Sun can be seen (at least one day each year) to pass directly overhead at the zenith (altitude of 90 degrees above the horizon).
The Sun passes directly overhead on the day when its declination is exactly the same as your latitude.

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I do not know what you mean by "solar angle".
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