Q12. One of the angles of a triangle is 84º and the remaining angles are in the ratio1 : 5 find the measure of the remaining angles
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Answer:
16° and 80°
Step-by-step explanation:
Given one angle is 84°.
The other two angles are in the ratio 1:5
So, the other two angles are x° and 5x° for some number x.
Angle sum property tells us that the sum of all angles of a triangle is equal to 180°. So,
84 + x + 5x = 180
⇒6x = 180 - 84
⇒6x = 96
⇒x = 16
As we took the other two angles to be x° and 5x°, their measure is 16° and 80°.
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