To find angle o, we need more context about the relationship between angles 2, p, and o. If angle 2 and angle p are part of a triangle or a straight line, we can use properties of triangles or supplementary angles to find angle o. For example, if angles 2 and p are part of a triangle, angle o would be calculated as 180 - (angle 2 + angle p). Please provide additional information about the angles' arrangement for a specific answer.
obtuse angle
The angle formed is 60 degrees.
The hands of a clock at 2 o'clock will form an acute angle of 60 degrees
To find angle M in triangle MNO, we can use the Law of Cosines. Given side lengths m = 5.6 inches, n = 9.8 inches, and angle O = 95 degrees, we can calculate the length of side o using the formula: ( o^2 = m^2 + n^2 - 2mn \cdot \cos(O) ). Once we have side o, we can apply the Law of Sines to find angle M: ( \frac{m}{\sin(M)} = \frac{o}{\sin(O)} ). After performing these calculations, angle M is approximately 34.2 degrees.
=Strait Angle- An Angle that measures exactly 180* Degrees.=<---------------o--------------->
obtuse angle
The angle formed is 60 degrees.
60o
The hands of a clock at 2 o'clock will form an acute angle of 60 degrees
150
30 degrees.
To find angle M in triangle MNO, we can use the Law of Cosines. Given side lengths m = 5.6 inches, n = 9.8 inches, and angle O = 95 degrees, we can calculate the length of side o using the formula: ( o^2 = m^2 + n^2 - 2mn \cdot \cos(O) ). Once we have side o, we can apply the Law of Sines to find angle M: ( \frac{m}{\sin(M)} = \frac{o}{\sin(O)} ). After performing these calculations, angle M is approximately 34.2 degrees.
Here is an 'aide memoire'. SOH, CAH, TOA. Expanding this aide. SOH ; is Sine , Oppositre, and Hypotenuse. CAH ; is Cosibe, Adjacent and Hypotenuse. TOA ; is Tangent, Opposite and Adjacent. To put these in algenraic format . Sine(angle) = opposite / hypotenuse Cosine(angle) = adjcent / hypotenuse Tangent(angle) = opposite/ adjacent. And in algenraic short-hand format. Sin(angle) = O/H Cos(angle) = A/H Tan(angle) = O/A For any given Right-angled triangle, the Hypotenuse is always the side opposite to the right angle. Taking one of the other anglers. Then the Opposite is the side length oppisite to the given angle. Then the Adjacent is the side length to the given angle. NB Taking the third angle, then the opposite(O) and the adjacent(A) ' swop places. The above three equations can all be algebraically rearranged. 'Sine' is shown, bit the other two can also be rearranged. Sin(angle) = O/H H X Sin(angle) = O [Sin(angle)] / O = H Angle = Sin(-1) [O/H] or ArcSin [O/H]. An example A right angled triangle of hypotenuse '2'. and an angle of 30 degrees. Then Sin(30) = O/2 On your calculator ; Sin(30) = 1/2 or 0.5 Substituting. 1/2 = O / 2 Algebraically rearrange O = 2 X 1/2 = 2/2 = 1/1 = 1 So the opposite side is equal to '1'. Correspondingly Sin(angle) = O/H = 1/2 Then Angle = Sin^(-1)[1/2] On your calculator, using the 'inverse/arcsin' button of Sin Then angle = 30 degrees. These work for any Trig. Functions. However, for any given value of an angle, you will have some 'horrible' decimal number. Sin(79) = 0.98167183.... usuallu shortened to 4 d.p. at 0.9817. or 6 d.p. 0.981672 Hope that helps!!!!!
Remember the sum of the 3 angles of a triangle = 180degrees Let angle 1 = x angle 2 = 2x angle 3 = x-20 Sum = x + 2x + x - 20 =180o 4x - 20 = 180o 4x = 200o x = 50o 2x = 100 o x - 20 = 30o angle 1 = 50o angle 2 = 100 o angle 3 = 30o
180
=Strait Angle- An Angle that measures exactly 180* Degrees.=<---------------o--------------->
O