Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
10 3/5=10.6
10.6+12.5=23.1
35.0-23.1=11.9
It is 11.9 miles from Chester to Durbin.
Answer:
64 degrees
Step-by-step explanation:
Lets find the measure of the other angle in the other triangle with measures of 84 and 36.
Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:
84 + 36 = 120
180 - 120 = 60
So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90
90 - 60 = 30
So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.
86 + 30 = 116
180 - 116 = 64
So the missing angle has a measure of 64 degrees
Answer:
63° (same as Z)
Step-by-step explanation:
The question indicates that ΔXYZ is similar to ΔEDF.
By definition, when we indicate that triangle XYZ is similar to the triangle EDF, the order of the letters is important and match the congruent angles.
So, ∠X = ∠E, ∠Y = ∠D and ∠Z = ∠F
It's hard to see because the angles are quite similar in opening (56°, 63° and 61°), and the drawing doesn't seems to be to scale.
But according to the naming convention: ∠Z = ∠F
Since ∠Z = 63°, ∠F = 63°
Let x be the blank number
x 1/2= 422/2
Cross multiply
x(1)*(2) = 422*2
2x = 844
Divide both sides by 2
2x/2 = 844/2
x = 422
I hope that's help !
