5
No. An obtuse angle has a measure in the range (90, 180) degrees. The angle in question is greater than the maximum value for an obtuse angle.
Any individual angle of a pentagon can have any value between 0 and 360 degrees. Their sum must be 540 degrees.
Okay. If two angles are supplementary then the sum of the two angles is equal to 180. This can be represented in an algebraic equation: X + Y = 180 Now it says the angle X is 24 degrees greater than Y. That can also be written algebraically: Y + 24 = X Now we can subsititute this value for X into the original equation and solve: (Y + 24) + Y = 180 2Y + 24 = 180 2Y = 156 Y = 78 Now that we know angle Y, we can plug this in to either of our formulas in order to discover angle X: X + (78) = 180 X = 102 There you go, angle X is equal to 102o and angle Y is equal to 78o
If these two sides are opposite to these angles, and you know one of the angles, you can use the Law of Sines to find the other angle. For example, in the triangle ABC the side a is opposite to the angle A, and the side b is opposite to the angle B. If you know the lengths of these sides, a and b, and you know the measure of the angle B, then sin A/a = sin B/b multiply by a to both sides; sin A = asin B Use your calculator to find the value of arcsin(value of asin b), which is the measure of the angle A. So, Press 2ND, sin, value of asin B, ).
It can have any value in the range (0, 360) - other than 180 degrees.
A supplementary angle can have any value - depending on the first angle.
11.25
15
2
18o
It is a complete turn of 360 degrees which is the maximum value of a reflex angle
Any value between 0 and 180 degrees.
No. An obtuse angle has a measure in the range (90, 180) degrees. The angle in question is greater than the maximum value for an obtuse angle.
Any value you like between 0 and 360 degrees (excluding the extremes).
The largest angle of a trapezium can be any value just less than 180 degrees.
x can have any value so there are infinitely many values that the two angles can take. There are no stated restrictions on either angle, nor on their combined vale.
Any particular angle of a pentagon can have any value of your choice.