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Answers
Answer:
1). 60+x= 120
x= 120 - 60
x = 60 is a answer
Here are your required answers:
Case 1
The angles are supplementary in nature so total degrees is .
Given, one angle = 60 degrees
Therefore, other angle (x) = 180 - 60 = 120 degrees
Case 2
Here also the angles are supplement.
So, 2x + 3x =
5x = 180 degrees.
Therefore x = 180/5 = 36
2x = 36 * 2 = 72 degrees
3x = 36 * 3= 108 degrees
Case 3
Here we have the measurements of 2 angles, 35 degrees and 60 degrees.
So, angle x = 180 - (35 +60)
= 180 - 95
= 85 degrees
Case 4
Here the some of all angles is 360 degrees, it is a complete angle.
Given measurements - 83 degrees, 92 degrees, 47 degrees and 75 degrees.
Therefore, x = 360 - (83+92+47+75)
= 360 - 297
= 63 degrees
Case 5
Here too all angles form a complete angle.
So, 2x+3x+2x+x = 360 degrees
8x = 360 degrees
x = 360/8
x = 45 degrees
Case 6
Here the angles are vertically opposite and we know that all vertical opposite angles are equal.
So,
105 degrees = 3x degrees
Therefore,
x = 105/3
= 45 degrees