if x is equals to 27 degree find y
and if y equals to 25 degree find x
please help me solve this question
Answers
Step-by-step explanation:
According to the Question
It is given that
→ ∠CAD = (5Y+21)°
→ ∠BAD = 2x
Since these angles are made up of in straight line .
So, by linear pair we know that sum of all angles formed in straight line is 180°
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If x = 27°
Putting the value we get
→ (5y+21)° + 2x = 180°
→ 5y + 21° + 2×27° = 180°
→ 5y + 21° + 54° = 180°
→ 5y + 75° = 180°
→ 5y = 180°-75°
→ 5y = 105°
→ y = 105°/5
→ y = 21 °
- Hence, the value of y = 21°
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If y = 25°
Putting the value we get
→ (5y+21) + 2x = 180°
→ 5×25° + 21° + 2x = 180°
→ 125° + 21° + 2x = 180°
→ 146° + 2x = 180°
→ 2x = 180°-146°
→ 2x = 34°
→ x = 34°/2
→ x = 17°
- Hence, the value of x = 17°
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Step-by-step explanation:
Given :-
Angle CAD = (5y+21)°
Angle DAB = 2x°
To find :-
1) Find y is x = 27°
2) Find x if y = 25°
Solution :-
From the given figure,
Angle CAD = (5y+21)°
Angle DAB = 2x°
Angle CAD and Angle DAB are Linear pair
=> angle CAD + angle DAB = 180°
=> 5y°+21° +2x° = 180°
=> 2x°+5y°+21° = 180°
=> 2x°+5y° = 180°-21°
=> 2x° +5y° = 159° ---------(1)
1) If x = 27° then (1) becomes
=> 2(27°)+5y = 159°
=> 54°+5y = 159°
=> 5y = 159°-54°
=> 5y = 105°
=> y = 105°/5
=> y = 21°
2) If y = 25° then (1) becomes
=>2x°+5(25°) = 159°
=> 2x° +125° = 159°
=> 2x° = 159°-125°
=> 2x° = 34°
=>x = 34°/2
=> x = 17°
Therefore x = 17°
Answer:-
1) The value of y = 21°
2) The value of x = 17°
Used formulae:-
- The sum of the two adjacent angles is equal to 180° then they are linear pair.