Question

4
If the angles of a triangle ABC are in the ratio 2:3:4. find the
measures of the angles A, B and C.​

Answer 1

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Answer 2

Answer:

LET THE ANGLES OF THE TRIANGLE BE( 2x°),

(3x°)AND (4x°)RESPECTIVELY.

WE KNOW THAT SUM OF ALL THE INTERIOR ANGLES OF A TRIANGLE IS 180°.

A/Q,WE HAVE

2x°+3x °+4x °=180°

or,9x °=180°

or,x=180°÷9

or,x=20°

NOW,

MEASURE OF ANGLE A=(2x°)=(2×20)°=40°

MEASURE OF ANGLE B=(°3x)= (3×20)°=60°

AND,MEASUREOF ANGLE C=(4x°)=(4×20)°=80°.

HOPE IT HELPS YOU ☺.