Question

two angles of a triangle are in ratio 4:5 .If thesum of these angle is equal yo yhe third angle,find the angle of the triangle

Answer 1

1 angle is 40° 2nd angle is 50° and third angle is 90°

Answer 2

Hey friend

Here is your answer

Let the angles be 4x and 5x and the third angle be y.

ACCORDING TO QUESTION :

4x+5x=y

9x=y ------------eq(i)

BY ANGLE SUM PROPERTY :

4x+5x+y=180

[From eq(i) y=9x]

4x+5x+9x=180

9x+9x=180

18x=180

x=180/18

x=10

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THE ANGLES ARE :

4x=4×10=40
5x=5×10=50
y=9x=9×10=90

All the angles of the triangle are 40°, 50° and 90°

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HOPE THIS HELPS YOU ☺