Question

please give answers​

Answer 1

GIVEN :

• ONE OF THE EXTERIOR ANGLE IS 110°
• RATIO OF INTERIOR OPPOSITE ANGLES = 2 : 3

TO FIND :

• ALL ANGLES OF TRIANGLE

PROPERTIES OF TRIANGLE :

1. SUM OF ALL ANGLES OF A TRIANGLE IS 180°
2. SUM OF INTERIOR OPPOSITE ANGLES OF TRIANGLE IS EQUAL TO THE EXTERIOR ANGLE

SOLUTION :

LET THE INTERIOR ANGLES BE 2x , 3x

SUM OF INTERIOR OPPOSITE ANGLES OF TRIANGLE IS EQUAL TO THE EXTERIOR ANGLE OF THE TRIANGLE

$= > 2x + 3x = 110 \\ \\ = > 5x = 110 \\ \\ = > x = 22 \\ \\ the \: angls \: are \\ \\ 2x = 2(22) = 44 \\ \\ 3x = 3(22) = 66 \\ \\ the \: other \: angle \: of \: triangle a \: \\ \\ = > 66 + 44 + a = 180 \\ \\ = > a + 110 = 180 \\ \\ = > a = 70$

∴ THE ANGLES OF TRIANGLE ARE 70° , 44° , 66°

HOPE IT HELPS !!!