Two angles of a triangle are in the ratio of 4:5 and third angle is 100°.Find other angles.
Answers
Answered by
5
40°, 50° and 90°
Let the two angles of the triangle be 4x and 5x.
Then, as per the question, we know
third angle =4x+5x=9x
We know that sum of all the angles of a triangle is 180°
.
∴4x+5x+9x=180°
⇒18x=180°
⇒x=10 °
....[On dividing both sides by 18]
So, first angle = 4x°
= 4×10°
=40°,
second angle = 5x°
= 5×10°
=50°
and
and third angle = 9x°
= 9×10°
=90°
Final answer: 40°, 50°, 90°
hope it helps yo..
Answered by
4
Correct answer:-
Let the two angles of the triangle be 4x and 5x.
Then, as per the question, we know
third angle =4x+5x=9x
We know that sum of all the angles of a triangle is 180°
∴4x+5x+9x=180°
⇒18x=180°
⇒x=10° ....[On dividing both sides by 18]
So, first angle = 4x°
= 4×10°
= 40° [Ans].
second angle = 5x°
= 5×10°
=50° [Ans].
and third angle = 9x°
=9×10°
=90° [Ans].
Hence, the other angles are 40°, 50° & 90°.[Ans]
hope it helps ✅✅✅
#MichAditi✨✌️
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