Give correct answer with full solution
Answers
a) 67+52+a+135=360
a= 106
b) 5b+4b+3b = 360
b= 30
c) 16c+4c+4c+90 = 360
c= 45/4
d) 6d+139+5d+7d+23=360
d=11
Step-by-step explanation:
Given Questions:-
For each of the following figures find the value of the unknown?
Solutions:-
a)
From the figure , we noticed that
a° ,67°,52° and 135° are the angles around at a point
we know that
The sum of all angles around at a point = 360°
=>a° + 67° + 52° + 135° = 360°
=> a° + 254° = 360°
=> a° = 360° - 254°
=> a° = 106°
Answer :-
The value of unknown angle a° = 106°
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b)Given angles are 5b° ,4b° and 3b°
we know that
The sum of all angles around at a point = 360°
=> 5b° + 4b° + 3b° = 360°
=>12b° = 360°
=>b° = 360°/12
=>b° = 30°
Answer:-
The value of unknown angle b° = 30°
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c) Given angles are 16c°,4c° and 4c°
we know that
The sum of all angles around at a point = 360°
=>16c° + 4c° + 4c° = 360°
=>24c° = 360°
=>c° = 360°/24
=>c° = 15°
Answer:-
The value of the unknown angle c° = 15°
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d)Given angles are (7d+23)° ,6d° , 139° and 5d°
we know that
The sum of all angles around at a point = 360°
=>7d°+23+6d°+139°+5d° = 360°
=>18d° + 162° = 360°
=>18d° = 360° - 162°
=>18d° = 198°
=>d° = 198°/18
=>d° = 11°
Answer:-
The value of the unknown angle d° = 11°
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Used formula:-
- The sum of all angles around at a point = 360°