(2x - 30)° and (x + 60)° are a pair of complementary angles.
Find the following values :
x =
°
The smaller angle is :
°.
The greater angle is :
Answers
Answer:
The value of x is 20°. (2x - 30)° = 2° × 20° - 30° = 40° - 30° = 10°. (x + 60)° = 20° + 60° = 80°. Thus, the smaller angle is 10° and the greater angle is 80°.
Step-by-step explanation:
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Answer:
Answer :-
The two angles are 10° and 80°.
10° is the smaller angle and 80° is the greater angle.
- (2x - 30)° and (x + 60)° are a pair of complementary angles.
- The smaller and
- the greater angle.
Step-by-step explanation :-
Two complementary angles are (2x - 30)° and (x + 60)°.
We know that complementary angles add up to 90°.
So, if we add these two angles, they must be equal to 90°.
Therefore, we get :-
Removing the brackets,
Putting the constants and variables separately,
(- 30 + 60 = 30)
On simplifying,
Transposing 30 from LHS to RHS, changing its sign,
Subtracting,
Transposing 3 from LHS to RHS, changing its sign,
Dividing 60 by 3,
The value of x is 20°.
So, the value of the angles are as follows :-
(2x - 30)° = 2° × 20° - 30° = 40° - 30° = 10°.
(x + 60)° = 20° + 60° = 80°.
Thus, the smaller angle is 10° and the greater angle is 80°.
Verification :-
To check our answer, lets add these two angles and see whether they add up to 90°.
80° + 10° = 90°.
Since they add up to 90°.
Hence verified!