Question

in a right angled triangle the other two angles are in the ratio 2:3 . find the measure of all the angles of a triangle .​

Answer 1

Step-by-step explanation:

Given :

Triangle is a = Right angled triangle

Ratio of two angles = 2 : 3

To find :

Measure of one angle

Solution :

Let the angles be -

One as 2x

Second as 3x

As It is a Right angled triangle, the third angle will be 90°

According to the Angle Sum property of triangle, sum of all the angles in a triangle is 180°.

90 + 2x + 3x = 180

90 + 5x = 180

5x = 180 - 90

5x = 90

x = 90/5

x = 18

★ Value of 2x

2(18)

36

First angle = 36°

★ Value of 3x

3(18)

54

Second Angle = 54°

The angles of the triangle are 54°, 36° and 90°.

Answer 2

Answer:

sum of three angles =180

if right angle triangle =90°

90°+2 x+3x=180°

90°+5 x=180°

5x=180°-90°

5x=90°

x=90°÷5

x=18

so first angle is 18×2=36

second angle is 18×3=54

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