One of the acute angles of a right angled triangle is 42°, Find the other acute angle.
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26
Answer :-
- The other acute angle is 48°.
Given :-
- One of the acute angles of a right angled triangle is 42°.
To find :-
- The other acute angle.
Step-by-step explanation :-
- In this question, it has been given that one of the acute angles is 42°. We have to find the other acute angle.
We know that :-
- So, that means the other angle is also less than 90°.
Now,
- Therefore, it means that two angles in this triangle are 42° and 90°. Now it's easier to find the third angle.
- Let's take the third angle as x.
We know that :-
- So, all these angles must add up to 180°.
Adding 42° and 90°,
Transposing 132° from LHS to RHS, changing it's sign,
Subtracting 132° from 180°,
- The value of x is 48°.
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Hence, the other acute angle is 48°.
Ladylaurel:
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