Question

the measure of one of the angles of a triangle is thrice the measure of it's smallest angle and the measure of the other angle is five times the measure of it's smallest angle. Find the measure of the three angles


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Answer 1

Let the measure of Smallest angle of triangle be x

Then, the measure of the 2nd Angle be 3x

And th measure of the 3rd Angle be 5x

ATQ,

x + 3x + 5x = 180 {According to the Angle Sum Property of Triangle}

9x = 180

$x = \frac{180}{9} \\ \\ x = 20$

Angle 1 ( Smallest Angle ) = x = 20°

Angle 2 = 3x = 3×20 = 60°

Angle 3 = 5x = 5×20 = 100°

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Answer 2

Answer:

Another angle is thrice the measure of the smallest angle. ∴ The measures of the remaining two angles are 2x° and 3x°. The measures of the three angles of the triangle are 30° , 60° and 90°.

Explanation:

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