Question

The angles of a triangle are in the ratio 4:6:8. Find the measure
of all the angles of the triangle,​

Answer 1

Answer:

The angles are 40,60 and 80

Step-by-step explanation:

$let \: the \: angles \: be \: 4x \: 6x \: and \: 8x \\ = )also \: sum \: of \: all \: angles \: of \: triangles = 180 \\ as \: per \: question \\ = )4x + 6x + 8x = 180 \\ = )18x = 180 \\ = )x = 10 \\ so \: angles \: are = )4x = 4 \times 10 \\ = )40 \\ 6x = 6 \times 10 \\ = )60 \\ 8x = 8 \times 10 \\ = )80$

Hope it helped

Answer 2

LET THE ANGLES OF THE TRIANGLE BE (4x °), (6x°) AND (8x°) RESPECTIVELY.

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

A/Q,WE HAVE

(4x°)+(6x°)+(8x°)=180°

or,18x°=180°

or,x=180°÷18

or,x=10°

NOW,

(4x°)=(4×10)°=40°

(6x°)=(6×10)°=60°

AND,( 8x°)=(8×10)°=80°.

HENCE, ALL THE ANGLES OF THE TRIANGLE ARE 40°,60°AND 80°.

HOPE IT HELPS YOU ☺.